Math 100: Differential Calculus
Sections V01 & 109

Fall Term 2021
Lior Silberman

General Information

This is the page for information specific to sections V01 & 109. See the Canvas page for information on assessment, course policies, and the like, including the link to the online homework (WeBWorK) and the syllabus.

Additional resources

Exams

Course Schedule

Ahead of each class you must read the relevant section from a textbook of your choice. The quoted section numbers are for the recommended CLP-1 textbook; corresponding section numbers in a few other textbooks (refs [2,4,5,8] below) may be found in this coordination table.

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

Week Date Material Reading In-class Recap Notes
1 Th 9/9 Introduction
Limits

§§1.1-3
Slides
WS 1, Soln
Scans: V01 109
Video: on Canvas
 
T 14/9 Limit laws §1.4 WS 2, Soln Scans: V01 109
Video: on Canvas
Note on Limits
2 Th 16/9 Recorded Lecture:
Limits at infinity
The extended sense
§1.5 WS 3, Soln Scan: Scan
Video: on Canvas
In-person lecture cancelled
T 21/9 Continuity §1.6 WS 4, Soln Scans: V01 109
Video: on Canvas
 
3 Th 23/9 The IVT §1.6 WS 5, Soln Scans: V01 109
Video: on Canvas
 
T 28/9 The Derivative §§2.1-3 WS 6, Soln Scans: V01 109
Video: on Canvas
 
4 T 5/10 Computing Derivatives §2.4, §2.6 WS 7 Soln Scans: V01 109
Video: on Canvas
 
Th 7/10 Exponential and trig functions §§2.7-8 WS 8, Soln Scans: V01 109
Video: on Canvas
 
5 T 12/10 The Chain Rule
Inverse functions
§2.9 WS 9, Soln Scans: V01 109
Video: on Canvas
 
Th 14/10 Logarithms
Implicit Differentiation
§2.10
§2.11
WS 10, Soln Scans: V01 109
Video: on Canvas
 
6 T 19/10 Inverse Trig
Related Rates
§2.11
§3.2
WS 11, Soln Scans: V01 109
Video: on Canvas
Related rates/Optimization
Advice
Th 21/10 (continued)
Exponential growth and decay
§3.2
§3.3
WS 12, Soln Scans: V01 109
Video: on Canvas
Law of cooling problem
7 T 26/10 MVT §2.13 WS 13, Soln Scans: V01 109
Video: on Canvas
Proving an Inequality
Th 28/10 Taylor Polynomials §3.4 WS 14, Soln Scans: V01 109
Video: on Canvas
Extra notes §1
8 T 2/11 Taylor Remainder §3.4 WS 15, Soln Scans: V01 109
Video: on Canvas
Extra notes §2
Some Taylor expansions
Th 4/11 Minima and Maxima §3.5 WS 16, Soln Scans: V01 109
Video: on Canvas
 
Midterm exam        
9 T 9/11 Optimization §3.5 WS 17, Soln Scans: V01 109
Video: on Canvas
General Advice
Snell's Law
T 16/11 Midterm review
Shape of the graph
 
§3.6
MT Review
WS 18, Soln
Scans: V01 109
Video: on Canvas
 
10 Th 18/11 Curve Sketching §3.6 Problems Scans: V01 109
Video: on Canvas
sketching notes
T 23/11 l'Hôpital's rule §3.7 WS 20, Soln Scans: V01 109
Video: on Canvas
More l'Hôpital examples
11 Th 25/11 Antiderivatives §4.1 WS 21, Soln Scans: V01 109
Video: on Canvas
 
T 30/11 Review 1     Scans: V01 109
Video: on Canvas
 
12 T 2/12 Review 2     Scans: V01 109
Video: on Canvas
 
T 7/12 Review 3     Scans: V01 109
Video: on Canvas
 
  Wed 15/12 Final Exam: 8:30am        

References

  1. Ayers, Schaum's Outline of Theory and Problems of Differential and Integral Calculus.
  2. Boelkins, Austin and Schlicker, Active Calculus.
  3. Feldman, Rechnitzer, and Yaeger, CLP-1 Differential Calculus textbook (see also the associated problem book)
  4. Fowler and Snapp, Mooculus.
  5. Hartman et al, APEX Calculus.
  6. Mendelson, Schaum's Outline of Calculus.
  7. Spiegel and Moyer, Schaum's Outline of College Algebra.
  8. Stewart, Calculus: Early Transcendentals.


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