Differential and Integral Calculus I (Honors)

Math 1914-040, Fall 2016 (http://www.math.ou.edu/~forester/1914F16)

Syllabus — This is a tentative schedule for the class. I will update it as we go to reflect what we actually cover in class.

Week Date Topic
       
1 8/22 M 1.4 The tangent line and velocity
8/23 T 1.5 The limit of a function
8/25 R 1.8 Continuity
       
2 8/29 M 2.1 Derivatives and rates of change
8/30 T 2.2 The derivative of a function
9/1 R 2.3 Differentiation formulas
       
3 9/5 M Labor day, no class
9/6 T 2.4 Derivatives of trigonometric functions
9/8 R 2.5 The chain rule
       
4 9/12 M 2.5
9/13 T 2.6 Implicit differentiation
9/15 R 2.6
       
5 9/19 M Review
9/20 T Exam 1
9/22 R 2.8 Related rates
       
6 9/26 M 2.9 Linear approximation and diffferentials
9/27 T 3.1 Maximum and minimum values
9/29 R 3.2 The mean value theorem
       
7 10/3 M 3.2
10/4 T 3.3 The shape of a graph
10/6 R 3.4 Horizontal asymptotes
       
8 10/10 M 3.4
10/11 T 3.5 Curve sketching
10/13 R 3.5
       
9 10/17 M 3.7 Optimization problems
10/18 T 3.7
10/20 R 3.7
       
10 10/24 M Review
10/25 T Exam 2
10/27 R 3.9/4.1 Antiderivatives and area/distances
       
11 10/31 M 4.2 The definite integral
11/1 T 4.3 The fundamental theorem
11/3 R 4.4 Indefinite integrals
       
12 11/7 M 4.5 Substitution
11/8 T 4.5
11/10 R 5.1, 5.2 Areas between curves, Volumes of solids
       
13 11/14 M 5.2
11/15 T 5.3 Volumes using shells
11/17 R 5.3
       
14 11/21 M Review
11/22 T Exam 3
11/24 R Thanksgiving, no class
       
15 11/28 M 5.3, 5.4 Work
11/29 T 5.5 Average value
12/1 R 6.1, 6.2* Inverse functions and the natural logarithm
       
16 12/5 M 6.2*, 6.3* The exponential function
12/6 T 6.3*, Review
12/8 R Review
       
17 12/16 F Final Exam 7:30-9:30 pm