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SYLLABUS, HOMEWORK and NOTES
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Course Syllabus
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Homework Assignments
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Class Lecture Notes and Handouts
Topic 1: Introductory Notes on Calculus
Topic 2: Functions and their Graphs
Topic 4:Tangent Lines & Derivatives
Topic 5: Relation Between Continuity & Differentiability
Topic 6: Introduction to Fractals
Topic 8: Implicit Differentiation
Topic 9: Extreme Values, Optimization & Graph Sketching
Topic 10: Curve Sketching and Concavity
Topic 11: Derivatives of the Sine and Cosine & Applications
Topic 12: Slopes to Curves in Polar Coordinates
Topic 13: Derivatives of the Other Trigonometric Functions
Topic 14: Antiderivatives and the Indefinite Integral
Topic 15: The Substitution Rule for Indefinite Integration
Topic 16: Falling Bodies & Projectile Motion
Topic 17: The Deflection Equation of a Uniform Beam
Topic 18: The Definite Integral
Topic 19: The Mean Value Theorem, Areas & the Definite Integral
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Optional Supplementary Topics
The Area of a Polar Region in the Plane
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Class Lecture Videos
Lecture 2.1: Optimization of Functions
Lecture 2.2: Optimizing an Area Example
Lecture 2.3: Optimizing Volumes of Open & Closed Cans
Lecture 3.1: Concavity Theorems
Lecture 3.2: Graphing with Monotonicity & Concavity
Lecture 4.1: Indeterminate Trigonometric Limit Problem
Lecture 4.2: The Derivative of the Sine and Cosine Functions
Lecture 4.3: Trigonometric Derivative Examples
Lecture 4.4: Trigonometric Implicit Differentiation Example
Lecture 4.5: Trigonometric Optimization Problem
Lecture 4.6: Graphing a Function with Fractional Powers
Lecture 5.1: Slopes of Curves Defined with Polar Coordinates
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References
Polar Graph Paper Templates (pdf) - Download additional templates here
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Tutoring Services
Math TA Tutoring is now available in Room RE 129 Mondays thru Fridays from 9:00 AM - 5:00 PM.
To see the complete schedule of TA office hours click here
ARC Math Tutoring in many subject areas is available via Zoom - View the schedule here
David Maslanka § Room 204 Rettaliata Engineering Center § maslanka@iit.edu
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