Jen Paulhus, Ph.D.

Calculus I

email: jpaulhus@mtholyoke.edu
Office Hours:
     Mondays 11 AM - 12 PM and 4:30-5:30 PM
     Wednesdays 9:30-10:30 AM
     Thursdays 1-2 PM
     or by appointment

Class Meeting: Monday, Wednesday, and Friday 3:15-4:30 PM

Text: Calculus 6th ed, Hughes-Hallet, Gleason, et al.
Material Covered: Chapters 1-5

Syllabus

Homework Assignments     Quiz Topics

Review questions on precalculus material and  solutions

Daily Topics

Class Date Section and Pages Word List Desmos Link
  Jan. 28 1.1 (pgs 2-6) function, domain, range, linear function, difference quotient, increasing and decreasing functions
  Jan. 30 1.2, 1.3 (pgs 12-16, 23-25) exponential function, exponential growth and decay, inverse function Exponential functions
  Feb. 2 1.4 natural logarithm, properties of logarithms (pg 30) Inverse
  Feb. 4 1.5 radians, sine, cosine, and tangent functions inverse trig functions (arcsin and arctan), power function, polynomial, rational function Trig Functions
  Feb. 6 1.3, 1.6 (pgs 21-22, 45-50) horizontal and vertical asymptotes, shift and stretch rules (box on pg 21), composition function Asymptotes
  Feb. 9 1.7 (pgs. 53-54) even and odd functions (pg 23), informal definition of continuous (pg 53), Even/Odd/Continuous
  Feb. 11 1.8 (pgs. 55, 57-60) Intermediate Value Theorem, idea of the limit of a function (top of page 58), definition of limit (bottom of page 58), properties of limits (page 60)
  Feb. 13 1.8 (pgs. 61-64) one-sided limits, limits at infinity, formal definition of continuity
  Feb. 16 2.1-2.2 (pgs. 76, 79, 83-87) average velocity, instantaneous velocity, derivative of a function at a point Formal defn. of derivative
  Feb. 18 2.3 (pgs. 90-92) derivative function
  Feb. 20 Exam 1
  Feb. 23 Snow Day!
  Feb. 25 2.3 (pgs. 92-95) derivatives and increasing or decreasing functions (pg. 92) derivative of a constant, derivative of a linear function, derivative of a power functions
  Feb. 27 2.5 (pgs. 104-108) second derivative, concave up, concave down
  Mar. 2 3.1, 2.6 (pgs. 124-126, 111-113) derivative of a constant multiple, derivative of sum and difference, differentiable
  Mar. 4 2.4 (pgs.99-101) no word: recap derivative rules so far
  Mar. 6 3.2, 3.3 (pgs. 132-134, 136-139) derivative of exponential function, product and quotient rule

Homework Assignments

Homework assignments are due on Gradescope by 3:00 PM on the date listed below.

Show your work on the homework. Answers with no work will receive zero points.

HW Due date Problems
# 1 Jan. 30 Homework 1
#2 Feb. 3 Homework 2
#3 Feb. 6 Homework 3
#4 Feb. 10 Homework 4
#5 Feb. 13 Homework 5
#6 Feb. 17 Homework 6
#7 Feb. 27 Homework 7
#8 Mar. 3 Homework 8

Quiz Topics

Quizzes will be posted on Gradescope at 10AM on the day listed under "Posting Date". They are due by 10 PM on the day listed under "Due Date" (36 hours after they are posted). You will have 30 minutes from the time you first access the quiz to complete it.

Quiz Posting Date Due Date Section(s)
# 1 Feb. 3 at 10 AM Feb. 4 at 10 PM review problems and 1.1
# 2 Feb. 10 at 10 AM Feb. 11 at 10 PM 1.2-1.5
# 3 Feb. 17 Feb. 18 1.6, 1.7, 1.8
# 4 Mar. 3 Mar. 4 2.1, 2.2, 2.3