Introduction   to   CALCULus

MATH  122    ~  SPRING  2024

  SYLLABUS,  HOMEWORK  and  NOTES

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Course Syllabus

Math 122-02 Syllabus

Math 122-03 Syllabus

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Exam Review Materials

Exam 1 - Monday, February 26

Exam 1 Review Topics

Exam 1 Review Problem Set      (Solutions Key)

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Exam 2 - Friday, April

Exam 2 Review Topics

Exam 2 Review Problem Set      (Solutions Key)

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Exam 3 - Friday, May 3

10:30 am to 12:30 pm   -   RE Auditorium Room 104 RE

Exam 3 Review Topics

Exam 3 Review Problem Set      (Solutions Key)

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Homework Assignments

Homework (pdf)

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Class Lecture Notes and Handouts

What is Learning?

Topic 1: Introductory Notes on Calculus

Topic 2: Functions and their Graphs

Topic 3: Limits of Functions

Topic 4:Tangent Lines & Derivatives

Topic 5: Relation Between Continuity & Differentiability

Topic 6: Introduction to Fractals

Topic 7: The Derivative Rules

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

Appendix: Volumes by Slicing

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Optional Supplementary Topics

The Exact Length of a Curve

The Area of a Polar Region in the Plane

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Class Lecture Videos

Lecture 1: Graph Sketching

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 - 5:30 PM.
To see the complete schedule of TA office hours log in to your myIIT account and click here

Math TA Tutoring is also available via Zoom Mondays thru Fridays from 9:00 AM - 5:30 PM.
Enter the Zoom tutorial meeting here

ARC Math Tutoring is now available in the Galvin Library - View the schedule here