Math 111: Calculus (Spring 2024)

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Instructor
Robert Chang

Office hours
Wednesday 3:00–4:00 p.m. and Friday 2:10–3:00 at Library 390

Assistant
Our course assistant, Riley Shahar (rileyshahar@), will hold office hours on Wednesdays 4–6 p.m. at Library 389.

Exams
One in-class midterm on Wedneesday, March 6, 2024
One in-person final exam on Thursday, May 9, 2024, 1–4 p.m. at Psychology 105

Homework
Expect weekly assignments to be submitted on GradeScope (entry code: 2PV2DG).

Please reach out first to our graders Susan Xu (xususan@) and Shirley Zhao (shirleyzhao@) should you take issue with homework grades. I will step in as necessary.

Collaboration, being a nontrivial part of learning and of scholarship in general, is highly encouraged. But, in accordance with the honor principle and basic human decency, you must submit your own write-up with an acknowledgment of collaborators.

Textbooks
[OS] OpenStax Calculus Volume 1 (pdf, html)

Supplements
Math 111 lecture notes by David Perkinson

Game Plan
This is a gentle introduction to some of the key ideas from calculus, supressing mathematical technicalities and tricky computations as much as possible.

We shall begin with a review of mathematical notation, the concept of functions, and some useful inequalities. Moving on, we will explore and play with derivatives and integrals, learning their historical development and modern applications along the way.

Here is a syllabus with all the legalese.

Resources
Math Help Center/Drop-in Tutoring TWTh 7:00–9:00 p.m. at Library 204. Weekly schedule.
Individual Tutoring: Reed offers one hour per week of free, one-to-one tutoring. Details here.
Week
Date
Topics covered and suggested readings
1
1/22
Fuctions: basic notation and concepts, polynomials, rational functions
[OS, §§ 1.1–1.2]; you might also find OpenStax Precalculus (pdf, html) useful
 
1/24
Trigonometric functions, inverse functions
[OS, §§ 1.3–1.4]; you might also find OpenStax Precalculus (pdf, html) useful
 
1/26
Exponential and logarithmic functions
[OS, § 1.5]; you might also find OpenStax Precalculus (pdf, html) useful
Homework 1 (pdf, solutions) due Friday, February 2
2
1/29
Absolute value functions and inequalities
You might find OpenStax Precalculus (pdf, html) useful
 
1/31
A birds-eye view of differential and integral calculus
[OS, § 2.1]
 
2/2
Limit of a function
[OS, § 2.2]
Homework 2 (pdf, solutions) due Friday, February 9
3
2/5
Limit laws
[OS, § 2.3]
 
2/7
Continuity
[OS, § 2.4]
 
2/9
Derivative as a limit of the difference quotient
[OS, § 3.1]
Homework 3 (pdf, solutions) due Friday, February 16
4
2/12
Derivative as a function
[OS, § 3.2]
 
2/14
Differentiation rules
[OS, § 3.3]
 
2/16
Applcation: derivatives as rates of change
[OS, § 3.4]
Homework 4 (pdf, solutions) due Friday, February 23
5
2/19
Derivatives of trigonometric functions
[OS, § 3.5]
 
2/21
The chain rule
[OS, § 3.6]
 
2/23
Derivatives of exponential and logarithmic functions
[OS, § 3.9]
Homework 5 (pdf, solutions) due Friday, March 1
6
2/26
Application: linear approximations
[OS, § 4.2]
 
2/28
Application: maxima and minima, first derivative test
[OS, § 4.3, 4.5]
 
3/1
Application: optimization
[OS, § 4.7]
No homework due Friday, March 8
In-class midterm (topics, mock midterm, mock solutions) on Wednesday, March 6
OH for midterm week: MT 3–4 at Lib 390, none WF but appointments are welcomed
7
3/4
Review for the midterm
 
3/6
In-class midterm
 
3/8
Antiderivatives
[OS, § 4.10]
Spring break
Next homework due Friday, March 29
9
3/18
Approximating areas and Riemann sums
[OS, § 5.1]
 
3/20
Approximating areas and Riemann sums
[OS, § 5.1]
 
3/22
The definite integral
[OS, § 5.2]
Homework 6 (pdf, solutions) due Friday, March 29
10
3/25
The definite integral
[OS, § 5.2]
 
3/27
The fundamental theorem of calculus
[OS, § 5.3]
 
3/29
The fundamental theorem of calculus
[OS, § 5.3]
Homework 7 (pdf, solutions) due Friday, April 5
11
4/1
The net change theorem
[OS, § 5.4]
 
4/3
$u$-substitution
[OS, § 5.5]
 
4/5
$u$-substitution involving exponential and logarithmic functions
[OS, § 5.6]
Homework 8 (pdf, solutions) due Friday, April 12
12
4/8
Areas between curves
[OS, § 6.1]
 
4/10
Volumes by slicing
[OS, § 6.2]
 
4/12
Volumes by slicing
[OS, § 6.2]
Homework 9 (pdf, solutions) due Friday, April 19
13
4/15
No class
 
4/17
Exponential growth and decay
[OS, § 6.8]
 
4/19
Improper integration (infinite interval of integration)
OpenStax II § 3.7
Homework 10 (pdf, tex, solutions) due Friday, April 26
14
4/22
Improper integration (infinite/discontinuous integrand)
OpenStax II § 3.7
 
4/24
 
4/26
No class
Mock final exam (pdf, solutions) and review topics
In-person final exam on Thursday, May 9, 2024, 1–3 p.m. at Psychology 105

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