B CUSP 125
Focuses on the historical emergence of modern calculus, the Fundamental Theorem, area, volume, and area length calculations, properties and applications of the integral, infinite series, Taylor and Fourier expansions, and the Weierstrass definition of limit. Emphasizes problem-solving and mathematical thinking. Prerequisite: minimum grade of 2.0 in B CUSP 124, score of 3 on AP MAB or AP MBC exams. Offered: AWSp.
This course covers Integral Calculus. You already know about differentiation and how taking differences enters into it - integration is about sums.
Integration is about adding up infinitely many lengths that are infinitely small. So we will have to come up with something better than just brute force addition!
Student learning goals
Riemann sums and approximating the area under a continuous curve.
Antiderivatives and the Fundamental Theorem of Calculus.
Using integrals to find areas under a curve.
Integration techniques for lots of practical functions.
Applications of integration to Physics and Probability.
General method of instruction
Lectures and pair work.
Successful completion of B CUSP 124.
Class assignments and grading
Weekly homework; 4 quizzes; 2 midterms and a final.
Homework will use the WileyPlus system which includes a printable soft copy of the textbook. You do not need to purchase a hard copy of the textbook. Further details about the textbook and homework will be discussed during the first class.
No grading curves. Grading scale TBD.
Weights: 20% total for homeworks; 10% total for quizzes; 40% total for midterms; and 30% for the final.