Introduction to Differential Calculus

Department: 
MATH
Course Number: 
1550
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Every Summer

An introduction to differential calculus including the theory of limits for functions and sequences (only for Summer Freshmen).

Prerequisites: 

SAT Math score of 600 or ACT 26 or ACT equivalent 600 or MATH 1113 Precalculus.

Course Text: 

Thomas, Calculus: Early Transcendentals, 13th ed.

Topic Outline: 
Topic Text Sections Lectures
Real numbers, absolute value, lines, circles, parabolas A.1, A.3 1
Functions, transcendental functions, inverses, and graphs 1.1-1.3, 1.5-1.6 3
Limits and continuity, asymptotes 2.1-2.6 3
Differentiation: computations, related rates, differentials 3.1-3.11 5.5
Max/min problems, mean value theorem, curve sketching 4.1-4.4 2
Optimization, Newton’s method 4.6, 4.7 1.5
Indefinite integrals 4.8 1
Fundamental theorem of calculus 5.4 1