Differentiation and integration of functions of one variable especially focusing on the theory, techniques and applications of integration. Prerequisite: MATH 1951
Time: TRF 12:00 – 13:50
Location: Boettcher Center – Auditorium 103
Office hours: TBA
Homework: 20% – Weekly homework (you must turn them in)
Participation in class: 10%
Midterm I (04/18 ): 20%
Midterm II (05/16): 20%
Final (TBA) : 30%
500, 501, 502, 503
61, 62, 70, 72, 76, 80
All problems refer to our textbook
Calculus is a well-established theory, and there are a lot of good books out there. We will be following Calculus Volume 1 from OpenStax, but you can use any other book you want. Just be aware that the exercises for the assignment will be selected from the textbook, okay?
Substitution Method – MATH 1952
The change of variables method.
Net Change Theorem – MATH 1952
The Net Change Theorem.
The Fundamental Theorem of Calculus – MATH 1952
Finding areas, the Fundamental Theorem of Calculus and the connection between areas and derivatives.
Definite Integral – MATH 1952
Definite integral. Computing definite integral by its definition and its geometrical interpretation.
Approximating Areas – MATH 1952
Approximating areas, Riemann sums
Antiderivatives, Indefinite Integrals – MATH 1952
Antiderivatives, indefinite integrals, power rule for indefinite integrals and initial-value problems.
Introduction to the course – MATH 1952
Introduction to the course.