Math 124: Calculus I (Sections A and B)

Fall 2019

Lectures: Instructor: Jarod Alper (jarod at
Office hours: Mon, Wed 1-2 pm in PDL C-544

Math 124A Math 124B
Section AA, AB: Brendan Wallace (
    Office hours: Tues 11:30-12:30, Thurs 10:30-11:30 in MSC C1
Section BA: Lei Xue (
    Office hours: Mon 5-6 in MSC C2
Section AC, AD: Joseph David (
    Office hours: Tues 1-2, Wed 3-4 in MSC C7
Section BB: Kristine Hampton (
    Office hours: Thurs 10:30-11:30 in MSC.
Section AE: Stark Ledbetter (
    Office hours: Mon 5:30-6:30 in MSC
Section BC, BD: Julie Curtis (
    Office hours: Thurs 2-4 in MSC
Section BE, BF: Nikhil Pandya (
    Office hours: Tues 12-1, Thurs 1-2 in MSC

Course information: This course will be a friendly introduction to the differential calculus of a function in a single variable. We will talk about functions and their derivatives, as well as related ideas like limits and continuity. In addition to the usual facts about derivatives, like the product rule and the chain rule, we will spend quite a bit of time talking about applications. This means the homework will involve a lot of story problems, particularly later on in the quarter. If you want a good grade in this class, you should expect to spend about 10 hours a week on homework.

See here for the central Math 124 Materials website: This link contains detailed information about:

Scientific calculators Required:
Schedule: The content of the lectures will be posted here. The sections of the textbook quoted below are only a rough approximation of what we actually covered in class.

Date Topics covered Remarks
Week 1
Wed Sept 25 Introduction to calculus
Fri Sept 27 Motivation and definition of limits
Week 2
Mon Sept 30 Computing limits; Squeeze Theorem
Wed Oct 2 Continuous functions; Intermediate Value Theorem
Fri Oct 4 Derivatives: a first glance; average vs instantaneous velocity
Week 3
Mon Oct 7 Derivatives as limits
Wed Oct 9 The derivative as a function
Fri Oct 11 First glance at rules and formulas for derivatives; parameteric equations
Week 4
Mon Oct 14 Product and quotient rules
Wed Oct 16 Derivatives of trigonometric and exponential functions
Fri Oct 18 Chain rule
Week 5
Mon Oct 21 Review Midterm 1 in Oct 22 TA section
Wed Oct 23 Parameteric equations and their calculus; implicit differentiation
Fri Oct 25 Implicit differentiation; Inverse functions and their derivatives (eg. ln x, arcsin(x))
Week 6
Mon Oct 28 Related rates
Wed Oct 30 More on related rates
Fri Nov 1 Logarithmic differentiation and linear approximation
Week 7
Mon Nov 4 Min and max #1: Fermat's thoerem, extreme value theorem and closed interval method
Wed Nov 6 Min and max #2: First and second derivative tests
Fri Nov 8 Concavity and inflection points
Week 8
Mon Nov 11 No class! Veteran's Day
Wed Nov 13 Min and max #3: first glance at optimization problems
Fri Nov 15 Review for Midterm 2
Week 9
Mon Nov 18 Review for Midterm 2 Midterm 2 in Nov 19 TA section
Wed Nov 20 L'Hopital's Rule
Fri Nov 22 Mean value theorem; Curve sketching #1
Week 10
Mon Nov 25 Curve sketching #2
Wed Nov 27 More examples and review
Fri Nov 29 No class! Thanksgiving break
Week 11
Mon Dec 2 Optimization
Wed Dec 4 Optimization and review
Fri Dec 6 Review
Sat Dec 7 Final examination, 1:30 - 4:20 pm

Midterm: There will be two midterms both taking place during the Tuesday TA section: For the midterms and final exam, you are allowed to bring a hand-written note sheet (8.5"x11", two-sided).
Final examination: