Calculus and Analytic Geometry I – MATH 131

CG • Section 8WK • 11/08/2019 to 04/16/2020 • Modified 07/28/2020

Course Description

Functions and graphs, exponential, logarithmic, inverse trigonometric, limits, the derivative, techniques of differentiation, continuity, applications of differentiation, L’Hopital’s Rule, the integral.

Prerequisite

MATH 128 or (pre2016 post1995)SAT Math with a score of 620 or SAT Section Math with a score of 620 or ACT Math with a score of 27

Rationale

This course, along with MATH 132, provides a standard introduction to the study of calculus. It presents the theory and applications of elementary calculus necessary for further study of mathematics.

Measurable Learning Outcomes

Upon successful completion of this course, the student will be able to:

  1. Find limits of elementary functions.
  2. Demonstrate knowledge of continuity of functions by solving problems in written form using proper mathematical notation and terminology.
  3. Carry out the differentiation of elementary functions.
  4. Sketch and discuss the graphs of elementary functions.
  5. Demonstrate knowledge of the application of differentiation by solving problems in written form using proper mathematical notation and terminology.
  6. Carry out integration of elementary functions.
  7. Demonstrate knowledge of the application of integration by solving problems in written form using proper mathematical notation and terminology.

Course Assignment

Textbook readings and presentations

Course Requirements Checklist

After reading the Course Syllabus and Student Expectations, the student will complete the related checklist found in Module/Week 1.

Homework (16)

Homework will be assigned through WebAssign, and the student will have multiple attempts at each problem. Even though homework problems are given online, the student is encouraged to work out solutions on paper using correct mathematical notation before entering data into WebAssign.

Quizzes (4)

Each quiz will be timed, handwritten, and open-book/open-notes and will cover the Reading & Study material for the assigned modules/weeks. The time limit for each quiz is 80 minutes (1 hour and 20 minutes). On all written work, the student is expected to write correct mathematics to avoid point deductions.

Tests (3)

Each test will be timed, handwritten, and open-book/open-notes and will cover the Reading & Study material for the assigned modules/weeks. The time limit for each test is 120 minutes (2 hours). On all written work, the student is expected to write correct mathematics to avoid point deductions.

Final Exam

The Final Exam will be timed, handwritten, and open-book/open-notes and will cover all of the material from the course. The time limit for the exam is 180 minutes (3 hours). On all written work, the student is expected to write correct mathematics to avoid point deductions.