MATH 265 Lecture 1: MATH 265 LEC 1 FUNCTIONS

MATH 265 Lecture 2: MATH 265 Lecture 2 Limit of Functions

MATH 265 Lecture 3: Squeeze Theorem

MATH 265 Lecture 4: Limit Computation

MATH 265 Lecture 5: One -sided Limits

MATH 265 Lecture 6: Infinite Limits

MATH 265 Lecture 7: Continuity and Discontinuity

MATH 265 Lecture 8: Differentiation and Intermediate Theorem

MATH 265 Lecture 9: Application and Rules of Derivatives

MATH 265 Lecture 10: Trigonometric Derivatives

MATH 265 Lecture 11: Implicit Differentiation

MATH 265 Lecture 12: Logarithmic Differentiation

MATH 265 Lecture 13: Inverse Trig. Derivatives

MATH 265 Lecture 14: Newton's Method of Trig. Intervals

MATH 265 Lecture 15: Newton-Ralphson Method

MATH 265 Lecture 16: Higher Order Derivatives

MATH 265 Lecture 20: L'Hopital's Rule

MATH 265 Lecture 21: Lecture 21

MATH 265 Lecture 22: Critical Points

MATH 265 Lecture 23: Second Derivative Test

MATH 265 Lecture 24: Relative Change and Examples

MATH 265 Lecture 25: Concavity and Inflection Point

MATH 265 Lecture 26: Concave Up and Down

MATH 265 Lecture 27: Optimization

MATH 265 Lecture 28: Riemman's Integration

MATH 265 Lecture 29: In-class Midterm 2 Review

MATH 265 Lecture 30: First Fundamental Theorem of Calculus

MATH 265 Lecture 31: Second Fundamental Theorem of Calculus

MATH 265 Lecture 32: Important Trigonometric Integrals

MATH 265 Lecture 34: Fresnel's Function and Integral Substitution

MATH 265 Lecture 35: Definite Integral Substitution Technique

MATH 265 Lecture 36: Definite Integral of Derivatives

MATH 265 Lecture 37: Area Between Two Curves

MATH 265 Lecture 38: Types of Improper Integrals

MATH 265 Lecture 39: Type-3 Improper Integrals and Examples

MATH 265 Lecture 40: Multi-Variable Partial Derivatives

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Limits, derivatives, and integrals; the calculus of exponential, logarithmic, trigonometric and inverse trigonometric functions. Applications including curve sketching, optimization, exponential growth and decay, Taylor polynomials. Fundamental theorem of calculus. Improper integrals. Introduction to partial differentiation.

University Calculus I

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