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).

 

Math 1550 will be discontinued as of Summer 2025. Math 1551/1499 will run during the short summer session instead. 

Prerequisites: 

SAT Math score of 600 or Math SAT Section Score (new SAT) of 620 or ACT 26 or ACT equivalent 600 or MATH 1113 Precalculus.

Course Text: 

Thomas, Calculus: Early Transcendentals, (14th 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