Math 212 - Calculus I - Fall 2024
Class Information
Instructor: Tuan Pham
Class meetings: M, T, W, Th, F: 8:00 - 8:50 AM at SCB 200/201
[Syllabus]
[Class schedule]
[Canvas]
[WebAssign]
Office Hours
Monday, Wednesday, Friday: 12:00 - 1:30 PM at SCB 316, or by appointment
Assignments
Homework problems are to be done in WebAssign.
Labs are submitted on Canvas as pdf file and source file (nb or ipynb).
Get access to Mathematica
Quizzes are given in class. See the class schedule above.
Lecture notes
Review for Final exam (Dec 5)
Lecture 52 (Dec 4): find volume of solid of revolution by shell method
Lecture 51 (Dec 3): practice on the last worksheet
Lecture 50 (Dec 2): find volume of solid by cross section method; Worksheet
Lecture 49 (Nov 27): find the area enclosed by curves; Worksheet
Lecture 48 (Nov 26): practice on substitution rule of integral; Worksheet
Mathematica Lab day (Nov 25)
Lecture 47 (Nov 22): substitution rule of integral
Lecture 47 (Nov 21): practice on the last worksheet
Lecture 47 (Nov 20): another form of Fundamental Theorem of Calculus; Worksheet
Lecture 46 (Nov 19): find integral using Fundamental Theorem of Calculus; Worksheet
Lecture 45 (Nov 18): find integral using geometric and algebraic properties
Lecture 44 (Nov 15): practice using summation notation; limit of a sum as an integral; Worksheet
Lecture 43 (Nov 14): summation notation; Worksheet
Lecture 42 (Nov 13): Riemann sums (left, right, middle points); Worksheet
Lecture 41 (Nov 11): the problem of finding/defining area
Review for Exam 3 (Nov 8)
Lecture 40 (Nov 7): antiderivative of a function
Mathematica Lab day (Nov 6)
Lecture 39 (Nov 5): Newton's method, practice on the last worksheet; Worksheet
Lecture 38 (Nov 4): concavity and inflection points; Worksheet
Lecture 37 (Nov 1): practice making a table of variation; Worksheet
Lecture 36 (Oct 31): table of variation of a function
Lecture 35 (Oct 30): applications of Mean Value Theorem; Worksheet
Lecture 34 (Oct 29): Rolle's Theorem and Mean Value Theorem
Lecture 33 (Oct 28): Fermat's theorem, some optimization problems in real life
Lecture 32 (Oct 25): practice finding min/ max of a function; Worksheet
Lecture 31 (Oct 24): optimiztion problem (finding min/max of a function)
Lecture 30 (Oct 23): hyperbolic functions and their inverses; Worksheet
Lecture 29 (Oct 22): linear approximation and differential; Worksheet
Lecture 28 (Oct 21): practice on the last worksheet
Lecture 27 (Oct 18): carbon dating, compound interest; Worksheet
Lecture 26 (Oct 17): motion problems and population growth models
Lecture 25 (Oct 16): derivative of inverse functions, logarithmic differentiation; Worksheet
Mathematica Lab day (Oct 15)
Lecture 24 (Oct 14): implicit differentiation; Worksheet
Lecture 23 (Oct 11): practice with chain rule; implicit differentiation
Lecture 22 (Oct 10): chain rule; Worksheet
Lecture 21 (Oct 9): practice with limits involving trigonometric functions
Lecture 20 (Oct 7): derivatives of trigonometric functions
Review for Exam 2 (Oct 4)
Lecture 19 (Oct 3): quotient rule; normal lines
Lecture 18 (Oct 2): product rule; Worksheet
Lecture 17 (Oct 1): algebraic rules of differentiation - sum and scaling rules
Lecture 16 (Sep 30): infer about f from the graph of f' and vice versa; Worksheet
Lecture 15 (Sep 27): motion problem; differentiable functions; Worksheet
Lecture 14 (Sep 26): derivative and tangent lines
Mathematica Lab day (Sep 25)
Practice finding vertical and horizontal asymptotes
Lecture 13 (Sep 23): Intermediate Value Theorem; Bisection method
Lecture 12 (Sep 20): (left/right) continuous function; types of discontinuity; Worksheet
Lecture 11 (Sep 19): Squeeze theorem; continue to work on the worksheet last time
Lecture 10 (Sep 18): indefinite limit of the form \(\frac{0}{0}\); Worksheet
Lecture 9 (Sep 17): algebraic rules of limits
Lecture 8 (Sep 16): \(\lim_{x\to a} f(x)=L\) where \(a,L\) can be \(\pm\infty\); Worksheet
Lecture 7 (Sep 13): limit of a function from graphic perspective; continuity
Lecture 6 (Sep 11): limit of a function from numerical perspective; tangent line, velocity; Worksheet
Lecture 5 (Sep 10): inverse functions and the logarithms
Lecture 4 (Sep 9): exponential functions; Worksheet
Lecture 3 (Sep 6): composite functions, transformation of graphs; Worksheet
Lecture 2 (Sep 5): find the domain of a function
Lecture 1 (Sep 4): introduction; representing a function
Supplement materials
Mathematica instruction from the Wolfram company:
- 15-minute video: Hands-on start to Mathematica
- Fast introduction for math students
- Mathematica as a programming tool: An elementary introduction
Use Mathematica on JupyterLab:
- Installation guide
- Video instruction, sample lab report:
pdf,
ipynb
Links
Joseph F. Smith Library, Math Lab
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This page was last modified on Tuesday, Dec 10, 2024.
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