Lehigh University

Math 21 Calculus I [4]

Instructor: Garth Isaak

Current Course Catalog Description
Functions and graphs; limits and continuity; derivative, differential and applications; indefinite and definite integrals; trigonometric, logarithmic, exponential and hyperbolic functions. Prerequisites:None, but there is a placement guideline of SAT Math score at least 650.

Textbook

J. Stewart, "Calculus, Early Transcendentals", 6th Ed.

References

None

Course Outcomes

Students should master the concepts and techniques of one variable differential and integral calculus and be able to deploy the associated problem-solving skills in a wide range of applications areas. See below, Major Topics Covered in the Course.

Prerequisites by Topic

High School Algebra and Trigonometry.

Major Topics Covered in the Course

Functions and Models
Limits and Derivative
Differentiation Rules and derivatives of inverse functions
Applications of Derivative:derivatives as rates of change, related rates
Mean Value Theorem, maxima abd minima, L'Hopital's Rule, curve sketching, optimization, Newton's method
Antiderivatives, definite integrals, the Fundamental Theorems of Calculus, the method of substitution

Relationship between Course Outcomes and Program Outcomes

MATH 21 outcomes strongly support the following outcome:

A. An ability to apply knowledge of computing and mathematics appropriate to the discipline

Assessment Plan for the Course

The students take two midterms and a final examination. Written homework is collected weekly and graded. There is also an online assignment corresponding to each lecture, administered via the homework management system, Web Assign, associated with the textbook. Quizzes may be given in lecture or recitation, but this occurs infrequently.

		Math 21 Calculus I [4] Instructor: Garth Isaak Current Course Catalog Description Functions and graphs; limits and continuity; derivative, differential and applications; indefinite and definite integrals; trigonometric, logarithmic, exponential and hyperbolic functions. Prerequisites:None, but there is a placement guideline of SAT Math score at least 650. Textbook J. Stewart, "Calculus, Early Transcendentals", 6th Ed. References None Course Outcomes Students should master the concepts and techniques of one variable differential and integral calculus and be able to deploy the associated problem-solving skills in a wide range of applications areas. See below, Major Topics Covered in the Course. Prerequisites by Topic High School Algebra and Trigonometry. Major Topics Covered in the Course Functions and Models Limits and Derivative Differentiation Rules and derivatives of inverse functions Applications of Derivative:derivatives as rates of change, related rates Mean Value Theorem, maxima abd minima, L'Hopital's Rule, curve sketching, optimization, Newton's method Antiderivatives, definite integrals, the Fundamental Theorems of Calculus, the method of substitution Relationship between Course Outcomes and Program Outcomes MATH 21 outcomes strongly support the following outcome: A. An ability to apply knowledge of computing and mathematics appropriate to the discipline Assessment Plan for the Course The students take two midterms and a final examination. Written homework is collected weekly and graded. There is also an online assignment corresponding to each lecture, administered via the homework management system, Web Assign, associated with the textbook. Quizzes may be given in lecture or recitation, but this occurs infrequently.