Skip to content

Course Syllabus

MATH 1220 Calculus II

  • Division: Natural Science and Math
  • Department: Mathematics
  • Credit/Time Requirement: Credit: 4; Lecture: 4; Lab: 0
  • Prerequisites: MATH 1210 with a C or better
  • Semesters Offered: Fall, Spring
  • Semester Approved: Summer 2024
  • Five-Year Review Semester: Spring 2029
  • End Semester: Spring 2030
  • Optimum Class Size: 20
  • Maximum Class Size: 36

Course Description

This course is a continuation of the study of calculus. Topics include techniques of integration and applications, numeric integration techniques, calculus in conic sections and polar coordinates, infinite sequences and series (tests for convergence), and introduction to vectors.

Justification

Calculus is a required topic in a wide variety of major programs including, but not limited to, mathematics and mathematics education, engineering, pre-med, physics, chemistry, and other science intensive areas. The course is similar to other second semester calculus courses across the state.

Student Learning Outcomes

  1. Students will know a variety of integration techniques (including integration by parts, partial fractions, tables/CAS, and numerical integration) and use these techniques to correctly solve problems.
  2. Students will know and be able to use a variety of techniques (including comparison tests, ratio test, root test, p-test, and nth-term test) to determine whether an infinite series converges or diverges.
  3. Students will apply calculus techniques to parametric curves and polar coordinates.
  4. Students will use the Taylor series to represent functions and solve problems.
  5. Students will be able to solve problems using vector arithmetic in 2D and 3D.
  6. Students will demonstrate familiarity with a computational software package such as Maple, Matlab, Maxima, Python, SageMath, Mathematica, etc.

Course Content

The course will cover the following:* Integrals and transcendental functions * Techniques of integration --integration by table and/or CAS --by parts --by partial fractions --by trigonometric substitution --by numerical approximation (trapezoid, Simpson's)* Improper integrals * Applications of integration* Calculus in conic sections and polar coordinates * Infinite sequences and series * Convergence tests * Power series (including Taylor Series) and applications * Introduction to vectors (2D and 3D)The course will incorporate additional viewpoints by presenting applications of the course material to a variety of professional fields.