The following is a rough outline of the lecture schedule (this will be updated frequently). You can also find textbook chapters below which correspond to topics covered in the lectures. It is recommended that you read the book in addition to attending the lectures, since the examples in the book will complement the lecture material .
Week 1 (8/23 - 8/27): Review of exponentials, logarithms (4.1, 4.2, 4.4 in book)
Lecture 1: Overview of course; review of exponential functions
Lecture 2: Review of logarithms and equations involving exponentials and logs
Lecture 3: More on equations with logs and exponentials, more on the logarithm
Week 2 (8/30 - 9/3): General definition of functions with examples, review of rational functions and asymptotes, introduction to limits (15.1, 15.2 in book)
Lecture 4: Review of functions and important examples
Lecture 5: Introduction to limits
Lecture 6: Limit examples, limits involving infinity
Week 3 (9/8 - 9/10): Limits of rational functions, left and right limits (15.1, 15.2, 16.1 in book)
Lecture 7: Limits involving infinity, in particular for rational functions
Lecture 8: Non-existent limits, left and right limits, continuity
Week 4 (9/13 - 9/17): Continuity, average rates of change vs. instantaneous rates of change, intro to derivatives (16.2, 17.1 in book)
Lecture 9: Continuity
Lecture 10: More on continuity, intermediate value theorem
Lecture 11: Average and instantaneous rates of change, intro to derivatives
Week 5 (9/20 - 9/24): Intro to derivatives (17.1-17.6, 18.1-18.2 in book)
Lecture 12: Definition of derivative, interpretation as slope of tangent line
Lecture 13: Calculating tangent line for a function, some rules for finding derivatives
Exam 1: Friday 9/24
Week 6 (9/27 - 10/1): Rules for finding derivatives (Ch. 18 in book, beginning of Ch. 19)
Lecture 14: Derivatives of polynomials, exponentials, and trig functions
Lecture 15: Product Rule
Lecture 16: Chain rule
Week 7 (10/4 - 10/8): More on the chain rule and related rules, higher derivatives (Ch. 19.2-19.5 and Ch. 20.1-20.2 in book)
Lecture 17: More on chain rule, quotient rule, derivatives of logarithms and exponentials
Lecture 18: Some more examples, increasing and decreasing functions
Lecture 19: More on increasing/decreasing, second derivatives
Week 8 (10/11 - 10/15): Finding local maximums and minimums (Ch. 20.1 - 20.5)
Lecture 20: Higher order derivatives, local maximums and minimums
Lecture 21: Local maximums and minimums via first derivative test, critical points
Lecture 22: Second derivatives and concavity
Week 9 (10/18 - 10/22): Finding local and absolute maximums and minimums, optimization problems (Ch. 20.1 - 20.5)
Lecture 23: The second derivative test for local max and min
Lecture 24: Finding absolute max and min on an interval
Lecture 25: Finding absolute max and min on an interval, optimization problems
Week 10 (10/25 - 10/29): More on optimization, introduction to integrals (Ch. 20.5)
Lecture 26: Optimization examples
Lecture 27: More optimization examples
Exam 2 Friday 10/29
Week 11 (11/1 - 11/5): Antiderivatives, Introduction to integrals (Ch. 22.2, Ch. 21)
Lecture 28: Antiderivatives
Lecture 29: Antiderivatives, problem of finding the area under a curve
Lecture 30: Approximating total area and signed area under a curve
Week 12: (11/8 - 11/12): Integrals and the fundamental theorem of calculus (Ch. 22)
Lecture 31: Definition of integrals, fundamental theorem of calculus
Lecture 32: More on fundamental theorem of calculus
Lecture 33: Interpreting FTC, and FTC part 2
Note on outline of proof of FTC, with more on the connection between parts 1 and 2 (optional reading)
Week 13: (11/15 - 11/19): Substitution method, some applications of integrals (Ch. 23.1, 24.3)
Lecture 34: Substitution method
Lecture 35: More on substitution method
Lecture 36: Some applications of integrals (net change from integral of rate of change; total amount from integral of density function)
Week 14 (11/29 - 12/3): Differential equations
Lecture 37: Newton's law of cooling and method of separation of variables
Lecture 38: More on method of separation of variables
Exam 3 Friday 12/3
Week 15 (12/6 - 12/7):
Lecture 39: Logistic growth equation for population
Lecture 40: Final exam review