MATH 2433 - Calculus and Analytic Geometry III, Section 010 - Fall 2014
TR 12-1:15 p.m., 031 Carson

Office Hours: M 2:30-3:30 p.m., T 1:30-2:30 p.m., or by appointment, in 802 PHSC.

Course catalog description: Prerequisite: 2423. Polar coordinates, parametric equations, sequences, infinite series, vector analysis. (F, Sp, Su)

Text: J. Stewart, Calculus, 7th edition, Brooks/Cole, 2012. We will cover major parts of chapters 10-13.

Check out the OU Math Blog! It is REALLY interesting!

Homework:

• Homework 1 (problems given on August 19 and 21), due August 28 (Thursday).
• Homework 2 (problems given on August 26 and 28), due September 4 (Thursday).
• Homework 3 (problems given on September 2 and 4), due September 11 (Thursday).
• Homework 4 (problems given on September 9 and 16), due September 23 (Tuesday).
• Homework 5 (problems given on September 23 and 25), due October 2 (Thursday).
• Homework 6 (problems given on September 30 and October 2), due October 9 (Thursday).
• Homework 7 (problems given on October 7 and 9), due October 16 (Thursday).
• Homework 8 (problems given on October 14, 16, and 23), due October 30 (Thursday).
• Homework 9 (problems given on October 28 and 30), due November 6 (Thursday).
• Homework 10 (problems given on November 4 and 6), due November 13 (Thursday).
• Homework 11 (problems given on November 11 and 13), due November 20 (Thursday).
• Homework 12 (problems given on November 18 and 20), due December 4 (Thursday).

Course content:

• Vectors and the geometry of space: vectors, dot and cross products, equations of lines and planes, cylinders and quadratic surfaces.
• Parametric equations and polar coordinates: curves defined by parametric equations, calculus with such curves, polar coordinates, conic sections.
• Vector functions: vector functions and space curves, calculus with vector functions, applications.
• Infinite sequences and series: sequences, series, integral and comparison tests, alternating series, ratio and root tests, power series, functions as power series, Taylor and Maclaurin series.

Content of the lectures:

• Lecture 1 (Tue, Aug 19): Three-dimensional coordinate systems: remarks about differences between 2- and 3-dimensional spaces; Cartesian coordinates in 3 dimensions, equations of different objects in 3 dimensions [Sec. 12.1]
  Homework: Exercises 12.1 / 8, 9(a), 10(a,d), 12, 16, 22, 28, 30, 38.
  FFT: Exercises 12.1 / 3, 5 (hint), 13 (hint), 21 (hint), 33 (hint), 41 (hint), 43.
  Remark: The FFT ("Food For Thought") exercises are to be solved like regular homework problems, but do not have to be turned in.
• Lecture 2 (Thu, Aug 21): Three-dimensional coordinate systems (cont.): several easy proofs of the Pythagorean theorem.
  Vectors: displacement vector, initial and terminal points; what does u=v mean? (a vector has many representatives!); zero vector 0; addition of vectors ("the triangle rule" and "the parallelogram rule"); "scalar"="number", multiplication of a vector by a scalar; difference of vectors (defined through the other two operations: u−v:=u+(−1)v); components of a vector; position vector of a point; magnitude (length) of a vector u=⟨u₁,u₂,u₃⟩: |u|=[(u₁)²+(u₂)²+(u₃)²]^1/2; the vector addition and the multiplication of a vector by a scalar in components; fundamental properties of vectors ("machine for adding two vectors" and "machine for multiplying a vector by a scalar", properties of these "machines"); standard basis vectors i=⟨1,0,0⟩, j=⟨0,1,0⟩, k=⟨0,0,1⟩; unit vectors (vectors of length 1); construction of a unit vector a/|a| in the same direction as a vector a≠0 [Sec. 12.2]
  Homework: Exercises 12.2 / 4 (no explanation needed), 8, 20, 24, 28 (apply trigonometry), 42, additional problem.
  FFT: Exercises 12.2 / 3 (hint), 7, 13 (hint), 25 (hint), 29 (hint), 43, 45 (hint).
  The complete Homework 1 (problems given on August 19 and 21) is due on August 28 (Thursday).
• Lecture 3 (Tue, Aug 26): The dot product: definition of dot product (scalar product, inner product); elementary properties of dot product; angle θ between vectors, a⋅b=|a||b|cosθ|; expressing cosθ through a⋅b; perpendicular (orthogonal) vectors, condition for orthogonality expressed through the dot product; direction angles and direction cosines, vector projection proj_ab of b onto a, scalar projection comp_ab of b onto a, geometric meanings and formal expressions for proj_ab and comp_ab [pages 824-829 of Sec. 12.3]
  Homework: Exercises 12.3 / 11 (hint), 19 (hint), 27 (hint), 31, 38, 39, 54.
  FFT: Exercises 12.3 / 1, 26, 45 (hint), 47 (hint), 55 (hint).
• Lecture 4 (Thu, Aug 28): The cross product: matrices; determinants of square matrices of size 2×2 and 3×3; definition of a cross product (vector product); basic facts about the cross product: (a×b)⊥a, (a×b)⊥b, |a×b|=|a||b|sinθ, direction of a×b (the right hand rule), condition for a to be perpendicular to b (a×b=0), geometric interpretation of |a×b| as the area of a parallelogram; further properties of the cross product; triple product a⋅(b×c), geometric interpretation of the triple product as (plus or minus) the volume of a parallelepiped, properties of the triple product [Sec. 12.4]
  Homework: Exercises 12.4 / 12, 14, 20, 31 (hint), 33, 45 (hint), 48, 49 (hint).
  FFT: Exercises 12.4 / 9, 11, 13 (hint), 19 (hint), 37, 38, 53 (hint).
  The complete Homework 2 (problems given on August 26 and 28) is due on September 4 (Thursday).

• Lecture 5 (Tue, Sep 2): Curves defined by parametric equations: parametric equations; parametric curve; "curve" versus "parametric curve"; examples; the cycloid, remarks about its applications - brachistochrone (Johann Bernoulli, 1696), tautochrone (Christiaan Huygens, 1659) [Sec. 10.1]
  Homework: Exercises 10.1 / 14, 18 (consider 1+tan²θ and apply the identity sin²θ+cos²θ=1), 31 (hint), 34(a) (hint), 38, 41 (hint; please write details of your derivation).
  FFT: Exercises 10.1 / 9 (hint), 13 (hint), 24, 28, 34(bc) (hint).
• Lecture 6 (Thu, Sep 4): Calculus with parametric curves: slope of the tangent to a parametric curve; rate of change of the slope of the tangent to a parametric curve (i.e., d²y/dx²); area under a parametric curve, example: area A under one arch of a cycloid, checks for plausibility: (1) the area should be measured in meters squared, (2) the area should be less than the area of a rectangle of sides 2r and 2πr which completely contains the cycloid (i.e., A<4πr²), (3) the area should be less than the area of an isosceles triangle with base 2πr and height 2r which is completely under the cycloid (i.e., A>2πr²); arc length of a parametric curve [Sec. 10.2]
  Homework: Exercises 10.2 / 5 (hint), 7, 11 (hint), 31 (hint, use that sin²θ=(1−cos(2θ))/2), 41 (hint).
  Reading assignment (mandatory): Surface area of a surface of revolution [page 674 of Sec. 10.2]
  Reading assignment (optional): Chain rule [pages 148-151 of Sec. 2.5]; definition of the definite integral as a limit of Riemann sums [pages 295-298 of Sec. 4.2]
  The complete Homework 3 (problems given on September 2 and 4) is due on September 11 (Thursday).
• Lecture 7 (Tue, Sep 9): Polar coordinates: polar coordinates in the plane: x=rcos(θ), y=rsin(θ), r∈[0,∞), θ∈[0,2π); relations between polar and Cartesian coordinates; polar curves; tangents to polar curves [Sec. 10.3]
  Homework: Exercises 10.3 / 4(b,c), 12, 14, 16, 24, 26, 30, 50, 60, 62.
  FFT: Exercises 10.3 / 11 (hint), 17 (hint), 33 (hint), 37 (hint), 54, 57 (hint), 61 (hint).
• Lecture 8 (Thu, Sep 11): Lecture cancelled because of the OU Engineering Career Fair.
  Homework 3 is due no later than 4 p.m. in PHSC 802 or in the Math Office, PHSC 423 (with my name clearly written on it!).
  I will be available from 12:00 to 1:15 in PHSC 802 if somebody needs help.
• Lecture 9 (Tue, Sep 16): Areas and lengths in polar coordinates: derivation of the formula for the area in a polar region; derivation of the formula for the length of a parametric curve in polar coordinates [Sec. 10.4]
  Homework: Exercises 10.4 / 5, 27 (hint, see Example 2), 41 (hint), 47 (hint).
  FFT: Chapter 10 Concept Check and True/False Quiz on page 709.
  The complete Homework 4 (problems given on September 9 and 16) is due on September 23 (Tuesday).
• Lecture 10 (Thu, Sep 18): Exam 1 [on the material from Sections 12.1-12.4, 10.1-10.3, covered in Lectures 1-7]
• Lecture 11 (Tue, Sep 23): Equations of lines and planes: lines: vector equation, parameter, parametric equations, direction numbers, symmetric equations [pages 840-843 of Sec. 12.5]
  Homework: Exercises 12.5 / 2, 10, 17 (see Eq. 4 on p. 843), 20, 22.
  FFT: Exercises 12.5 / 1, 7 (hint), 13 (hint), 19 (hint).
• Lecture 12 (Thu, Sep 25): Equations of lines and planes (cont.): normal vector to a plane; vector, scalar, and linear equations of a plane; parallel planes; angle between planes [pages 843-845 of Sec. 12.5]
  Reading assignment (mandatory): Examples 7(b) (line of intersection of two planes), 8 (distance from a point to a plane), 9 (distance between parallel planes), 10 (distance between skew lines) [pages 845-847 of Sec. 12.5]
  Homework: Exercises 12.5 / 26, 28, 30, 34, 37, 57, 64, 71; in all problems, please explain clearly your reasoning, emphasizing the geometric meaning of the equations.
  FFT: Exercises 12.5 / 51 (hint), 63 (hint), 67, 68, 75 (hint); Chapter 12 Concept Check and True/False Quiz on pages 858-859.
  The complete Homework 5 (problems given on September 23 and 25) is due on October 2 (Thursday).
• Lecture 13 (Tue, Sep 30): Vector functions and space curves: component functions, vector functions, limits and continuity of vector functions, space curves, parametric equations of a space curve, curves obtained as intersections of surfaces, examples [pages 864-867 of Sec. 13.1]
  Homework: Exercises 13.1 / 2, 4, 18, 28, 30, 42, 48 (hint: see Exercise 13.1/47).
  FFT: Exercises 13.1 / 21-26 (hint), 27 (hint), 41 (hint).
• Lecture 14 (Thu, Oct 2): Derivatives and integrals of vector functions: derivative of a vector function, tangent vector to a space curve at a point; differentiation rules; higher-order derivatives; unit tangent vector to a space curve at a point; examples: let r(t):=|r(t)|, then r(t)=const implies that r'(t)⋅r(t)=0, r'(t)=r'(t)⋅r(t)/r(t), using the differentiation rules to derive an expression for d[r(t)r(t)]/dt; definite integrals of vector functions [Sec. 13.2]
  Homework: Exercises 13.2 / 8, 16, 18, 21, 23, 34, 36, 51, 55.
  FFT: Exercises 13.2 / 3 (hint), 15 (hint), 19 (hint), 25 (hint), 53 (hint).
  Remark: A vector function determines a single space curve, a space curve corresponds to infinitely many vector functions (differing by the choice of parameterization), i.e., the vector functions r₁(t)=⟨t,t⁴,e^t⟩ and r₂(t)=⟨t³,t¹²,e^t3⟩ determine the same space curve.
  The complete Homework 6 (problems given on September 30 and October 2) is due on October 9 (Thursday).
• Lecture 15 (Tue, Oct 7): Derivatives and integrals of vector functions (cont.): a discussion of the correspondence between vector functions and space curves: a vector function determines only one space curve, but a space curve corresponds to infinitely many vector functions (differing by the choice of parameterization), examples.
  Arc length and curvature: derivation of the expression for arc length of a curve by representing it as a limit of Riemann sums; proof that the length of a space curve obtained by using the formula for the arc length and using a particular parameterization of the curve does not depend on the particular choice of parameterization [pages 877-878 of Sec. 13.3]
  Reading assignment (mandatory): parameterization of a space curve using the arc length function as a parameter [Equations 6 and 7, and Example 2 on pages 878-879 of Sec. 13.3]
  Homework: Exercises 13.3 / 2, 4 (1+tan²t=cos⁻²t), 14, additional problem.
  FFT: Exercises 13.3 / 3 (hint).
• Lecture 16 (Thu, Oct 9): Arc length and curvature: parameterization of a space curve using the arc length function as a parameter - a derivation and an example; idea of curvature: smooth curves, definition of curvature κ:=|dT/ds| (where T is the unit tangent vector and s is the arc length parameter), expressing the curvatuve from an arbitrary parametrization r(t) of a space curve κ(t)=|T'(t)|/|r'(t)| [pages 878-880 of Sec. 13.3 (skip everything after Example 3)]
  Motion in space: velocity and acceleration: time t; position vector r(t); velocity vector v(t)=r'(t); speed v(t)=|v(t)|; acceleration vector a(t)=v'(t); an example: motion of a projectile in the gravity acceleration a=g=−gk=⟨0,0,−g⟩: v(t)=v(0)+gt, r(t)=r(0)+v(0)t+gt²/2; in components, if r(0)=⟨x(0),y(0),z(0)⟩, v(0)=⟨v_x(0),v_y(0),v_z(0)⟩, and a=g=−gk=⟨0,0,−g⟩, then x(t)=x(0)+v_x(0)t, y(t)=y(0)+v_y(0)t, z(t)=z(0)+v_z(0)t−gt²/2 [pages 886-889 of Sec. 13.4]
  Homework: Exercises 13.3 / 14, additional problem; 13.4 / 12, 16, 19 (hint), 22 (hint, compare this exercise with 13.2/53).
  FFT: Exercises 13.3 / 17 (hint); 13.4 / 11 (hint); Chapter 13 Concept Check and True/False Quiz on page 897.
  The complete Homework 7 (problems given on October 7 and 9) is due on October 16 (Thursday).
• Lecture 17 (Tue, Oct 14) Motion in space: velocity and acceleration (cont.): a historical digression: measuring the radius of the Earth by Eratosthenes (276 BC-195 BC); Kepler's laws of planetary motion (1609, 1619); Newton's derivation of Kepler's laws based on the law of universal gravitation (1687); discovery of Neptune (1846) based on the calculations of Le Verrier and Adams based on studies of the irregularities in the orbit of Uranus.
  Sequences: sequences, examples; recursively defined sequences, example: Fibonacci sequence; limit of a sequence - definition and examples [pages 714-716 of Sec. 11.1]
  Homework: Exercises 11.1 / 5, 12, 16, 20 [in Exercise 20 you are allowed to use only Definition 2 on page 716]
  FFT: Exercise 11.1 / 17 (hint).
• Lecture 18 (Thu, Oct 16) Sequences (cont.): definition of an infinite limit, lim(a_n)=∞; simpler ways to find limits of sequences: limit laws, using simple limits: lim(1/n^r)=0 if r>0, lim(cⁿ)=0 if |c|<1, lim(cⁿ)=∞ if |c|>1; using your knowledge of limits of functions in order to find limits of sequences: Theorem 3 (sometimes used together with the l'Hospital's rule), Theorem 7: limƒ(a_n)=ƒ(L) if the function ƒ(x) is continuous at x=L; examples; bounded sequences; increasing, decreasing, and monotone sequences; examples; Monotonic Sequence Theorem; using the Monotonic Sequence Theorem to prove existence of a limit of a recursively defined sequence, and then finding the limit of the sequence [pages 717-723 of Sec. 11.1]
  Homework: Exercises 11.1 / 24, 26, 28 (see Example 11), 30 (use Theorem 7 and the continuity of ƒ(x)=x^1/2 at x=0), 34 (use Theorem 7, specifying for which function and at which point), 36, 38, 48 (use Theorem 6), 49, 81 (hint).
  FFT: Exercise 11.1 / 25 (hint), 42 (hint), 43 (hint), 53 (hint), 71 (hint), 73 (hint).
• Lecture 19 (Tue, Oct 21): Exam 2 [on the material from Sections 10.4, 12.5, 13.1-13.4, covered in Lectures 9, 11-16]
• Lecture 20 (Thu, Oct 23): Sequences (cont.): the base e of the natural logarithms as a limit of the sequence (1+1/n)ⁿ.
  Series: series; partial sums; convergent and divergent series; geometris series (Examples 2-6); telescoping series (Example 7); harmonic series (Example 8); if Σa_n converges, then lima_n=0 (Theorem 6); the converse is not true (example: harmonic series); test for divergence by proving that lima_n≠0; facts about Σca_n, Σ(a_n+b_n), Σ(a_n−b_n) for convergent series Σa_n and Σb_n and a constant c; examples [Sec. 11.2]
  Homework: Exercises 11.2 / 4, 18, 22, 24, 30, 33, 36, 44, 45, 52, additional problem.
  FFT: Exercises 11.2 / 15 (hint), 16, 23 (hint), 39 (hint), 43 (hint), 51 (hint), 79 (hint).
  The complete Homework 8 (problems given on October 14, 16, and 23) is due on October 30 (Thursday).
• Lecture 21 (Tue, Oct 28): The integral test and estimates of sums: the Integral Test (with proof); p-test; examples [pages 738-741, 744 of Sec. 11.3]
  Homework: Exercises 11.2 / 58, 63, 74; 11.3 / 6, 8, 13, 15, 20, 28, 29, 34.
  FFT: Exercises 11.2 / 57 (hint), 67 (hint), 73 (hint), 85 (hint); 11.3 / 7 (hint), 11 (hint), 17 (hint), 21 (hint), 27.
• Lecture 22 (Thu, Oct 30): The integral test and estimates of sums (cont.): estimating the sum of a series, remainder estimate for the integral test [pages 742, 743 of Sec. 11.3]
  The comparison test: the comparison test; the limit comparison test; examples [pages 746-749 of Sec. 11.4]
  Homework: Exercises 11.3 / 36, 39 (use an error estimate!), 44, 45, 46 (in Exercise 45 use that b^lnn=e^(lnb)(lnn)=n^lnb and apply the p-test; in Exercise 46 don't split the series into two series); 11.4 / 7 (hint), 9, 11, 13, 16, 27, 29, 30.
  FFT: Exercises 11.3 / 37 (hint), 41; 11.4 / 1 (hint), 2, 5 (hint), 17 (hint), 31 (hint), 41 (hint).
  The complete Homework 9 (problems given on October 28 and 30) is due on November 6 (Thursday).
• Lecture 23 (Tue, Nov 4): Alternating series: definition of alternating series; the Alternating Series Test (with a sketch of proof); Alternating Series Estimation Theorem; examples [Sec. 11.5]
  Homework: Exercises 11.5 / 4, 10, 12, 16, 18, 20, 25, 30, 36 (in Exercise 30 you may use the results of Exercise 11.3/44 without proving them).
  FFT: Exercises 11.5 / 3 (hint), 7 (hint), 11 (hint), 17 (hint), 23 (hint), 32 (hint).
• Lecture 24 (Thu, Nov 6): Absolute convergence and the ratio and root tests: absolutely convergent series; conditionally convergent series; absolute convergence implies convergence (but convergence does not imply absolute convergence!); the Ratio Test; the Root Test; examples [pages 756-760 of Sec. 11.6]
  Homework: Exercises 11.6 / 5, 6, 8, 10, 13 (hint), 19 (hint), 20, 24, 31 (hint), 33. Remarks and hints: You have to check for convergence and for absolute convergence! Do not forget about the Comparison Test, the Limit Comparison Test, the p-test, the Alternating Series Test, the Ratio and Root Tests
  FFT: Exercises 11.6 / 3 (hint), 21 (hint), 35 (hint), 37 (hint).
  The complete Homework 10 (problems given on November 4 and 6) is due on November 13 (Thursday).
• Lecture 25 (Tue, Nov 11): Absolute convergence and the ratio and root tests (cont.): rearrangement of the "alternating harmonic series" 1−1/2+1/3−1/4+1/5−1/6+1/7-1/8+... to obtain a series whose sum is half of the sum of the original series; Riemann Rearrangement Theorem: if an infinite series is conditionally convergent (i.e., convergent but not absolutely convergent), then its terms can be rearranged (i.e., taken in a different order) so that the new series converges to any given value, or diverges [page 761 of Sec. 11.6]
  Power series: definition of a power series; examples of power series that converge at one point only, of power series that converge on an interval (of the form (a,b), (a,b], [a,b), or [a,b]), and of power series that converge on the whole real line; Theorem that the above three possibilities are the only three things that can happen (Theorem 3 on page 767) [pages 765-768 of Sec. 11.8]
  Reading assignment (mandatory): strategy for testing series [Sec. 11.7]
  Homework: Exercises 11.7 / 2, 4, 6, 8, 10, 14, 20, 22; 11.8 / 5 (hint), 7 (hint), 15 (hint), 23 (hint); in all problems from Sec. 11.8 investigate each endpoint of the interval of convergence separately.
  Hints for the problems from Sec. 11.7 (please try to solve the problems before you look at the hints): 2 - Root Test, 4 - Alternating Series Test, 6 - Limit Comparison Test or Integral Test, 8 - Ratio Test or Test for Divergence, 10 - Integral Test, 14 - Comparison with a geometric series, 20 - Comparison with a p-series, 22 - Test for Divergence.
• Lecture 26 (Thu, Nov 13): Practice: solving Exercises 11.7 / 23 (divergent by comparison with the harmonic series), 25 (divergent by the Ratio Test), 28 (convergent by comparison with Σn⁻² which convergent by the p-test), 32 (divergent by the Test for Divergence); Exercises 11.8 / 5 (converent on (−1,1) by comparison with Σn⁻² which convergent by the p-test; convergent at x=1 by the Alternating Series Test, even absolutely convergent x=1 by comparison with Σn⁻²; convergent at x=−1 by comparison with Σn⁻²).
  Power series (cont.): interval of convergence and radius of convergence of a power series; examples of using Theorem 3 on page 767 to predict the convergence/divergence of a series at a point.
  Homework: Exercises 11.8 / 30; Chapter 11 Review (pages 802-804) / 6, 9, 12, 16, 18, 41, 43 (in Exercises 41 and 43 investigate each endpoint of the interval of convergence).
  Hints for the problems from Chapter 11 Review (please try to solve the problems before you look at the hints): 6 - use Theorem 3 in Sec. 11.1 and l'Hospital, 9 - see Example 14 in Sec. 11.1, 12 - Comparison Test, 16 - Test for Divergence, 18 - Root Test.
  FFT: Exercise 11.8 / 29 (hint); Chapter 11 Review (pages 802-804) / Concept Check questions 1-8, True-False Quiz questions 1-9, 11, 12, 14-17.
  The complete Homework 11 (problems given on November 11 and 13) is due on November 20 (Thursday).
• Lecture 27 (Tue, Nov 18) Representations of functions as power series: examples of using the formula for the sum of a geometric series to derive such representations; differentiation and integration of power series; examples of applications [Sec. 11.9]
  Homework: Exercises 11.9 / 8 (hint), 13 (hint(a), hint(b)), 14 (see Example 6), 17 (see Example 5, first expand 1/(1+4x)² by differentiating 1/(1+4x)), 23 (hint), 25 (hint), 34, 36(b).
  FFT: Exercises 11.9 / 5 (hint), 15 (hint), 37(a) (hint).
• Lecture 28 (Thu, Nov 20) Representations of functions as power series (cont.): more examples using differentiation and integration of power series: power series representations of ln(1+x) (Example 6), arctan(x) (Example 7), e^x as a solution of the differential equation ƒ'(x)=ƒ(x) (Exercise 11.9/37); using the power series for arctan(x) for computing the value of π [Sec. 11.9]
  Homework: Exercises 11.9 / 29, 39 (hint), 40.
  The complete Homework 12 (problems given on November 18 and 20) is due on December 4 (Thursday).
• Lecture 29 (Tue, Nov 25): Exam 3 [on the material from Sections 11.1-11.8, covered in Lectures 17, 18, 20-26]

Homework: Homework will be assigned regularly and will be posted on the this web-site. The homework will be due at the start of class on the due date. Each homework will consist of several problems, of which some pseudo-randomly chosen problems will be graded. The lowest homework grade will be dropped. Giving just an answer to a problem is not worthy any credit - you have to write a complete solution which gives your step-by-step reasoning and is written in grammatically correct English. Although good exposition takes time and effort, writing your thoughts carefully will greatly increase your understanding and retention of the material.
You are allowed to discuss the homework problems with the other students in the class. However, each of you will need to prepare individual solutions written in your own words - this is the only way to achieve real understanding!
Your homework should have your name clearly written on it, and should be stapled. Please write the problems in the same order in which they are given in the assignment. No late homework will be accepted!

Quizzes: Short pop-quizzes will be given in class at random times; your lowest quiz grade will be dropped. Often the quizzes will use material that has been covered very recently (even in the previous lecture), so you have to make every effort to keep up with the material and to study the corresponding sections from the book right after they have been covered in class.

Exams: There will be three in-class midterms and a (comprehensive) final.
Tentative dates for the midterm are September 16 (Tue), October 16 (Thu), and November 18 (Tue).
The final will be given from 1:30 to 3:30 p.m. on December 8 (Mon).
All tests must be taken at the scheduled times, except in extraordinary circumstances.
Please do not arrange travel plans that prevent you from taking any of the exams at the scheduled time.

Grading: Your grade will be determined by your performance on the following coursework:

Policy on W/I Grades : You can withdraw from the course with an automatic "W" from September 2 to October 14. The period for withdrawing with a grade of W or F is October 27 to December 5, and withdrawal in this period requires a petition to the College Dean. (Petitions to the Dean are not often granted. Furthermore, even if the petition is granted, I will give you a grade of "Withdrawn Failing" if you are indeed failing at the time of your petition.) Please check the dates in the academic calendar!
The grade of "I" (Incomplete) is not intended to serve as a benign substitute for the grade of "F". I only give the "I" grade if a student has completed the majority of the work in the course (i.e., everything except the final exam), the coursework cannot be completed because of compelling and verifiable problems beyond the student's control, and the student expresses a clear intention of making up the missed work as soon as possible.

Academic Misconduct: All cases of suspected academic misconduct will be referred to the Dean of the College of Arts and Sciences for prosecution under the University's Academic Misconduct Code. The penalties can be quite severe. Don't do it!
For details on the University's policies on academic integrity see the Student's Guide to Academic Integrity at the Academic Integrity web-site. For information on your rights to appeal charges of academic misconduct consult the Academic Misconduct Code. Students are also bound by the provisions of the OU Student Code.

Students With Disabilities: The University of Oklahoma is committed to providing reasonable accommodation for all students with disabilities. Students with disabilities who require accommodations in this course are requested to speak with the instructor as early in the semester as possible. Students with disabilities must be registered with the Office of Disability Services prior to receiving accommodations in this course. The Office of Disability Services is located in Goddard Health Center, Suite 166: phone 405-325-3852 or TDD only 405-325-4173.

Good to know:

• The greek_alphabet.
• Some useful notations.