MATH 131

Fall 2022

Calculus I (Sections 10 and 19)

General Course Information:

The official website for Sections 10 and 19 is located on the Moodle page. Only the schedule we followed is provided here. If you have questions or require clarification: please feel free to e-mail me (ksackel@umass.edu). Before you send an e-mail, make sure to check the syllabus (below) and the main course webpage to see if your question is answered therein.

Schedule / Topics Covered

Days listed in black have already occurred.

Days listed in orange are tentative, since they have not yet occurred.

Sections listed in blue (also starred) may be omitted if time is lost from emergency campus closing.

Exams are listed in green.

Holidays and breaks are listed in pink. (Note that I have only listed holidays as they affect this class, not all holidays on the academic calendar.)

Logistical matters are written in grey.

* * * * * * * * * * * * * * * * * * *

Lecture 1, Sept 6 (Tu): Introduction, Start Chapter 2 Limits and Derivatives, 2.1 The tangent and velocity problems

Lecture 2, Sept 8 (Th): End 2.1 (The tangent and velocity problems)

Sept 12 (M): Last day to Add/Drop

Lecture 3, Sept 13 (Tu): Start 2.2 The limit of a function

Lecture 4, Sept 15 (Th): End 2.2 The limit of a function, Start 2.3 Calculating limits using the limit laws

Lecture 5, Sept 20 (Tu): End 2.3 Calculating limits using the limit laws, Start 2.4 The precise definition of a limit

Lecture 6, Sept 22 (Th): End 2.4 The precise definition of a limit, 2.5 Continuity

Lecture 7, Sept 27 (Tu): 2.6 Limits at infinity; horizontal asymptotes, Start 2.7 Derivatives and rates of change

Lecture 8, Sept 29 (Th): End 2.7 Derivatives and rates of change, Most of 2.8 The derivative as a function

Lecture 9, Oct 4 (Tu): Very End of 2.8 The derivative as a function, Start Chapter 3 Differentiation Rules, 3.1 Derivatives of polynomials and exponential functions

Lecture 10, Oct 6 (Th): Review, Start 3.2 The Product and Quotient Rules

Exam 1 on Chapter 2 Material (Review Sessions TBA)

  • Regular Exam, Oct 6 (Th), 7-9 PM

  • Make-Up Exam, Oct 7 (F), 7-9 PM

Oct 10 (M): Indigenous Peoples' Day, so no discussion section for Section 19

Lecture 11, Oct 11 (Tu): Finish 3.2 The Product and Quotient Rules, 3.3 Derivatives of trigonometric functions

Lecture 12, Oct 13 (Th): 3.4 The Chain Rule, Start 3.5 Implicit differentiation

Lecture 13, Oct 18 (Tu): Finish 3.5 Implicit differentiation, Start 3.6 Derivatives of logarithmic functions

Lecture 14, Oct 20 (Th): 3.6 Derivatives of logarithmic functions

Lecture 15, Oct 25 (Tu): Finish 3.6 Derivatives of logarithmic functions, Start 3.7 Rates of change in the natural and social sciences

Lecture 16, Oct 27 (Th): Finish 3.7 Rates of change in the natural and social sciences, Start 3.8 Exponential Growth and decay

Lecture 17, Nov 1 (Tu): Finish 3.8 Exponential Growth and decay, 3.9 Related rates

Last day to drop with "W" or select "P/F": Nov 1 (Tu)

Lecture 18, Nov 3 (Th): 3.10 Linear approximations and differentials

Lecture 19, Nov 8 (Tu): Start Chapter 4: Applications of Differentiation, Start 4.1 Maximum and minimum values

Exam 2 on Chapter 3 Material (Review Sessions TBA)

  • Regular Exam, Nov 9 (W), 7-9 PM

  • Make-Up Exam, Nov 8 (Tu), 7-9 PM

Lecture 20, Nov 10 (Th): Finish 4.1 Maximum and minimum values, 4.2 The Mean Value Theorem

Lecture 21, Nov 15 (Tu): 4.3 How derivatives affect the shape of a graph

Lecture 22, Nov 17 (Th): 4.4 Indeterminate forms and L’Hôpital’s Rule

Nov 22 (Tu): Friday schedule, hence no class

Nov 23 (W): Thanksgiving Recess, so no discussion section for Section 10

Nov 24 (Th): Thanksgiving Recess, so no class

Lecture 23, Nov 29 (Tu): 4.7 Optimization problems

Lecture 24, Dec 1 (Th): 4.9 Antiderivatives

Lecture 25, Dec 6 (Tu): Start Chapter 5: Integrals (introduction), Start 5.1 Areas and distances, Start 5.2 The definite integral and Riemann sums

Lecture 26, Dec 8 (Th): Finish 5.1 Areas and distances, Finish 5.2 The definite integral and Riemann sums

Dec 12 (M): Last day of class, so yes discussion section for Section 19, but not for Section 10 later in the week

Final Exam (cumulative)! Dec 15 (Th), 1-3 PM

Grades due on SPIRE by midnight Dec 27 (Tu)