Math 100: Differential Calculus
Section 107

Fall Term 2019
Lior Silberman

General Information

This is the page for information specific to section 107. See the course-wide website for details on assessment, homework, textbooks, course policies, and the like.

Additional resources

Exams

Course Schedule

Ahead of each class you must read the relevant section from a textbook of your choice. The "reference" section numbers for the CLP Calculus book; for section numbers in other textbooks see the coordination table.

Warning: the following information is tentative and subject to change at any time

Week Date Material Reading In-class Notes
1 Th 5/9 Introduction
Tangents & Velocity Problems
Limits		  
§§1.1-1.2
§1.3		 Slides, WS 1, Soln, Scan  
T 10/9 Limit laws §1.4 WS 2, Soln, Scan Note on Limits
2 Th 12/9 Limits at infinity
Continuity		 §1.5
§1.6		 WS 3, Soln, Scan  
T 17/9 (continued)
The Derivative I		 §1.6
§§2.1-2.2		 WS 4, Soln, Scan  
3 Th 19/9 The Derivative II
Product and Quotient Rules		 §2.3
§2.4		 WS 5, Soln, Scan  
T 24/9 Derivatives of Polynomials and Exponentials §§2.6-7 WS 6, Soln, Scan  
4 Th 26/9 Trig Functions
The Chain Rule		 §2.8
§2.9		 WS 7 Soln, Scan  
T 1/10 (continued)
Inverse functions		  
§0.6		 WS 8, Soln, Scan  
5 Th 3/10 Logarithms §2.10 WS 9, Soln, Scan  
T 8/10 Implicit Differentiation
Inverse Trig		 §2.11
§2.12		 WS 10, Soln, Scan  
6 Th 10/10 Applications §3.1 WS 11, Soln, Scan  
T 15/10 Exponential growth and decay §3.3 WS 12, Soln, Scan Law of cooling problem
7 Th 17/10 Related Rates §3.2 WS 13, Soln,  
Midterm exam      
T 22/10 Taylor Polynomials 1 §3.4 WS 14, Soln, Scan Extra notes §1
8 Th 24/10 Taylor Polynomials 2 §3.4 WS 15, Soln, Scan Extra notes §2
Some Taylor expansions
T 29/10 Minima and Maxima §3.5 WS 16, Soln, Scan  
9 Th 10/31 MVT §2.13 WS 17, Soln, Scan Proving an Inequality
T 5/11 (continued)
Shape of the graph		 §3.6 WS 18, Soln, Scan  
10 Th 7/11 Curve Sketching §3.6 Problems, Scan sketching notes
T 12/11 Review   Scan  
11 Th 14/11 Optimization §3.5 WS 21, Soln, Scan Snell's Law
T 19/11 l'Hôpital's rule §3.7 WS 22, Soln, Scan More l'Hôpital examples
12 Th 21/11 Antiderivatives §4.1 WS 23, Soln, Scan  
T 26/11 Review   Scan  
13 Th 28/11 Review    
  13/12 Final Exam: 3:30pm at the HEBB 100      
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