MA 16010: Applied Calculus 1

Fall 2021, sections 399, 418


Contact info:

Other info, links:

Program:

In each class, we cover the current material together with examples of problems. Usually a template for the lesson will be available here beforehand. In some classes (usually once per week), there will be a quiz on past material in the last 10 minutes of the class.

The quizzes will be posted here afterwards, together with solutions. Some additional materials (worked out templates for lectures and videos of lectures) may also appear here.

Program, notes templates, past quizzes, videos:


Aug 23 Lesson 1 Precalc Review (completed notes)
Aug 25 Lesson 2 Limits Numerically (completed notes)
Aug 27 Lesson 3 Limits Graphically (completed notes) Quiz 1 (Lesson 1)
Aug 30 Lesson 4 Limits Analytically (completed notes)
Sep 1 Lesson 5 Continuity (completed notes) Quiz 2 (Lessons 2, 3)
Sep 3 Lesson 6 The Derivative (completed notes)
Sep 6 No Class (Labor Day)
Sep 8 Lesson 7 Basic rules of differentiation (completed notes)
Sep 10 Lesson 8 Instantaneous rate of change (completed notes) Quiz 3 (Lessons 4-6)
Sep 13 Lesson 9 The Product rule (completed notes)
Sep 15 Lesson 10 The quotient rule, other trig. fun. (completed notes)
Sep 17 Exam 1 review Quiz 4 (Lessons 7-9)
Sep 20 Exam 1 (no class)
Sep 22 Lesson 11 The chain rule I (completed notes)
Sep 24 Lesson 12 The chain rule II, natural log (completed notes)
Sep 27 Lesson 13 Higher order derivatives (completed notes) Quiz 5 (Lessons 10, 11)
Sep 29 Lesson 14 Implicit differentiation (completed notes)
Oct 1 Lesson 15 Related Rates I (completed notes) Quiz 6 (Lessons 12, 13)
Oct 4 Lesson 16 Related Rates II (completed notes)
Oct 6 Lesson 17 Relative extrema, critical numbers (completed notes)
Oct 8 Lesson 18 First Derivative test (completed notes) Quiz 7 (Lessons 14-16)
Oct 11 No class (October break)
Oct 13 Exam 2 review
Oct 14 Exam 2
Oct 15 Lesson 19 Concavity, Second Derivative test (completed notes)
Oct 18 Lesson 20 Absolute extrema on an interval (completed notes)
Oct 20 Lesson 21 Properties of f from f' graphically (completed notes)
Oct 22 Lesson 22 Limits at infinity (completed notes) Quiz 8 (Lessons 19, 20)
Oct 25 Lesson 23 Summary of sketching graphs
Oct 27 Lesson 24 Optimization I (completed notes)
Oct 29 Lesson 25 Optimization II (completed notes) Quiz 9 (Lessons 21, 22)
Nov 1 Lesson 26 Optimization III (completed notes)
Nov 3 Lesson 27 Antiderivatives I (completed notes)
Nov 5 Lesson 28 Antiderivatives II (completed notes) Quiz 10 (Lessons 24-26)
Nov 8 Exam 3 review
Nov 9 Exam 3
Nov 10 No class (after Exam 3)
Nov 12 Lesson 29 Area and Riemann sums (completed notes)
Nov 15 Lesson 30 Definite integrals I (completed notes)
Nov 17 Lesson 31 Definite integrals II (completed notes)
Nov 19 Lesson 32 Fundamental Theorem of Calculus (completed notes) Quiz 11 (Lessons 29, 30)
Nov 22 No class (Proxy-after Exam 2)
Nov 24 No class (Thanksgiving break)
Nov 26 No class (Thanksgiving break)
Nov 29 Lesson 33 Fund. Theorem of Calculus II (completed notes)
Dec 1 Lesson 34 Numerical Integration (completed notes)
Dec 3 Lesson 35 Exponential Growth (completed notes) Quiz 12 (Lessons 31-33)
Dec 6 Lesson 36 Exponential Decay (completed notes)
Dec 8 Review for Final I
Dec 10 Review for Final II