Course Outline for Mathematics 215W
Noncredit Applied Calculus I Corequisite Support Workshop

Effective: Fall 2024
SLO Rev:
Catalog Description:

MTH 215W - Noncredit Applied Calculus I Corequisite Support Workshop

36.00 Hours

May be repeated 99 time(s)
This noncredit course is part of a noncredit certificate of competency in preparation for Business and STEM Math. This course is free and students may repeat this course until mastery of the skills is met. This class provides corequisite support to help students succeed in MTH 15 as AB 1705 permits all students to enroll in MTH 15. This course includes skills review, laboratory, study group, collaborative workshop, and/or computer laboratory time.
Corequisite: MTH 15.
1702.00 - Mathematics Skills
Pass/No Pass/Satisfactory Progress
Type Hours
Lecture 36.00
Total 36.00
Measurable Objectives:
Upon completion of this course, the student should be able to:
  1. read and write the mathematics used in Applied Calculus I;
  2. use technology currently used in calculus courses;
  3. solve problems on their own and with peers without having to rely on an instructor.
Course Content:
  1. Applications of principles and concepts
  2. Review of prerequisite mathematics skills used in calculus, such as:
    1. Arithmetic with fractions
    2. Operations with polynomials and rational expressions
    3. Solving equations of various types in one variable
    4. Solving inequalities
    5. Solving system of equations
    6. Algebra and composition of functions
    7. Domain and range 
    8. Sketch functions resulting from transformations of basic functions
    9. Sketch polynomial and rational functions by hand
    10. Factoring techniques
    11. Simplifying expressions involving exponents and radicals
    12. Formulas in geometry and analytic geometry
    13. Sequence and series
    14. Properties of logarithm
    15. Exponential models
    Study Skills
    1. Grit and growth mindset
    2. How learning math is different
    3. Resources on and off Campus
    4. Time management
    5. How to be an effective listener and take notes
    6. How to approach homework
    7. How to study for an exam
    8. Overcoming math and test anxiety
Methods of Instruction:
  1. Problem Solving
  2. Group Activities
  3. Class and group discussions
  4. Lecture/Discussion
Assignments and Methods of Evaluating Student Progress:
  1. Find an equation with slope -1/3 and passing through (4,-2).
  2. Write a function to represent the time it takes to swim directly from (0,10) to (x,0) at 1 mph and then to walk directly from (x,0) to (15, -10) at 3 mph.
  3. Identify where x/(x-2)^2 is positive, negative, zero, or undefined.
  4. The student visits various sites on campus that provide student support.
  1. Class Work
  2. Competency
Upon the completion of this course, the student should be able to:
  1. Increase confidence in understanding mathematical concepts, communicating ideas, and thinking analytically.
Textbooks (Typical):
  1. Abramson, Jay (2021). Precalculus (2e/e). OpenStax https://openstax.org/details/books/precalculus-2e.
  2. Marecek, Lynn, and Andrea Honeycutt Mathis (2020). Intermediate Algebra (2e/e). OpenStax https://openstax.org/details/books/intermediate-algebra-2e.
  1. Abramson, Jay (2021). Precalculus (2e). OpenStax.
  2. Marecek, Lynn, and Andrea Honeycutt Mathis (2020). Intermediate Algebra (2e). OpenStax.
Abbreviated Class Schedule Description:
This noncredit course is part of a noncredit certificate of competency in preparation for Business and STEM Math. This course is free and students may repeat this course until mastery of the skills is met. This class provides corequisite support to help students succeed in MTH 15 as AB 1705 permits all students to enroll in MTH 15. This course includes skills review, laboratory, study group, collaborative workshop, and/or computer laboratory time.
Corequisite: MTH 15.
Discipline:
Mathematics*, or Mathematics-Basic Skills: Noncredit