Course Page for MA251

Course Description

This course offers an introduction to the foundational ideas of differential calculus, focusing on the concept of limits, continuity, and the definition of the derivative. Students will learn to differentiate elementary functions (polynomial, trigonometric, exponential, and logarithmic) and explore a variety of applications in the physical sciences. Emphasis is placed on developing both procedural fluency and conceptual understanding.

A syllabus can be found here. Lecture notes notes will be updated weekly, and can be found here.

Midterm I

The first midterm is on Wednesday the 23rd and covers limits and the basics of differentiation. I have created a study guide.

Problem Sets

Week 1

Textbook Problems

Ch. 2: 16–19, 44–54, 76–78, 93–102, 110–114, 118–121, 129–130, 135–138, 140–149

Challenge Problem Sheet I. Solutions

Week II

Textbook Problems

Ch. 3: 116-125, 133-136,150-153, 159, 175-184, 209-213, 245-252, 257, 268-273, 296, 297,299 , 310-315, 320,325, 338-345

Challenge Problem Sheet II. Solutions

Week III

Ch 3: 311, 313, 315, 325, 326, 327, 347, 349, 351, 353

Challenge Problem Sheet III. Solutions

Week IV

Midterm Week: No Homework.