MAT 187 - mathematics I

Course Objectives

Preliminaries, Limit (epsilon-delta definition) and Continuity, Derivatives, Applications of Derivatives, Sketching Graphs of Functions, Asymptotes, Integration (Riemann sum), Fundamental Theorem of Calculus, Transcendental Functions, Techniques of Integration (Integration by Parts, Partial Fractions,,Trigonometric Integrals, Trigonometric Substitution), Applications of Integrals (area, length of a curve volume and surface area of solids of revolution), Indeterminate Forms, L?Hopital?s Rule, Improper Integrals (First and Second type)

Course Description

Preliminaries, Limit (epsilon-delta definition) and Continuity, Derivatives, Applications of Derivatives, Sketching Graphs of Functions, Asymptotes, Integration (Riemann sum), Fundamental Theorem of Calculus, Transcendental Functions, Techniques of Integration (Integration by Parts, Partial Fractions,,Trigonometric Integrals, Trigonometric Substitution), Applications of Integrals (area, length of a curve volume and surface area of solids of revolution), Indeterminate Forms, L?Hopital?s Rule, Improper Integrals (First and Second type)