Math 152: Calculus I
Catalog course description: A study of the basic concepts and techniques of calculus for students in all disciplines. Topics include limits, differentiation, integration, and applications.
Syllabus
The syllabus is available here.
Slides
Slides from each lecture (as numbered in the syllabus) are available via the links below.
- Lecture 1 Course Intro/Velocity
- Lecture 2 Limits
- Lecture 3 The Derivative at a Point
- Lecture 4 The Derivative Function
- Lecture 5 Interpreting the Derivative
- Lecture 6 The Second Derivative
- Lecture 7 Limits, Continuity, and Differentiability
- Lecture 8 The Tangent Line Approximation
- Lecture 9 Elementary Derivative Rules
- Lecture 10 Sine and Cosine
- Lecture 11 Product and Quotient Rules
- Lecture 12 Derivatives of Other Trig Functions
- Lecture 13 The Chain Rule
- Lecture 14 Derivatives of Inverse Functions
- Lecture 15 Implicit Differentiation
- Lecture 16 Infinite Limits
- Lecture 17 Identifying Extrema
- Lecture 19 Global Extrema
- Lecture 20 Applied Optimization
- Lecture 21 Related Rates
- Lecture 22 Determining Distance Traveled from Velocity
- Lecture 23 Riemann Sums
- Lecture 24 The Definite Integral
- Lecture 25 The Fundamental Theorem of Calculus
- Lecture 26 Constructing Accurate Graphs of Antiderivatives
- Lecture 27 FTC II
- Lecture 28 Substitution
Desmos Demos
A few years ago, I made some Desmos worksheets to supplement the slides above. You can find them below.