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)