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General Information

Course ID (CB01A and CB01B)
MATHD211X
Course Title (CB02)
Algebra Support for Finite Mathematics
Course Credit Status
Credit - Not Degree Applicable
Effective Term
Fall 2021
Course Description
A review of the core prerequisite skills, competencies, and concepts needed when studying linear functions, exponential and logarithmic functions, and probability and optimization models. Intended for students who are concurrently enrolled in Finite Mathematics
Faculty Requirements
Course Family
Not Applicable

Course Justification

This is a stand-alone course designed to be AB 705 compliant by providing just-in-time instruction for students who are studying Finite Mathematics.

Foothill Equivalency

Does the course have a Foothill equivalent?
No
Foothill Course ID

Course Philosophy

Course Philosophy
This course is intended to provide just-in-time instruction for students who are studying finite mathematics, but who may need additional assistance with the intermediate algebra skills necessary to succeed in a transfer level math course. This course gives the instructor of the requisite course the opportunity to cover topics as needed to support the students' learning in finite mathematics. In addition to providing the algebraic skills, an emphasis should be placed on developing study skills and habits of mind that will aid the students in all of their further math courses.

Formerly Statement

Course Development Options

Basic Skill Status (CB08)
Course is a basic skills course.
Grade Options
  • Pass/No Pass
Repeat Limit
0

Transferability & Gen. Ed. Options

Transferability
Not transferable
°®¶¹´«Ã½ GEArea(s)StatusDetails
2SUMDA Support Course Math-CB26Approved

Units and Hours

Summary

Minimum Credit Units
2.5
Maximum Credit Units
2.5

Weekly Student Hours

TypeIn ClassOut of Class
Lecture Hours2.55.0
Laboratory Hours0.00.0

Course Student Hours

Course Duration (Weeks)
12.0
Hours per unit divisor
36.0
Course In-Class (Contact) Hours
Lecture
30.0
Laboratory
0.0
Total
30.0
Course Out-of-Class Hours
Lecture
60.0
Laboratory
0.0
NA
0.0
Total
60.0

Prerequisite(s)

Corequisite(s)

MATH D011. or MATH D011H

Advisory(ies)

Limitation(s) on Enrollment

Entrance Skill(s)

General Course Statement(s)

Methods of Instruction

Lecture and visual aids

Discussion of assigned reading

Discussion and problem solving performed in class

Homework and extended projects

Collaborative learning and small group exercises

Collaborative projects

Quiz and examination review performed in class

Guest speakers

Assignments

  1. Required readings from text
  2. Problem-solving exercises, some involving technology
  3. Small group exercises
  4. Optional project synthesizing various concepts and skills from the course content

Methods of Evaluation

  1. Periodic quizzes and/or assignments from sources related to the topics listed in the curriculum are evaluated for completion. Feedback will be given on accuracy in order to assist the students’ comprehension.
  2. Projects may be used to enhance the students’ understanding of topics studied in the course in group or individual formats. Students will communicate their understanding orally and/or in writing. The evaluation is to be based on completion and level of participation
  3. Small group exercises will be evaluated based on the level of engagement in the material and level of participation.
  4. One-hour comprehensive final exam

Essential Student Materials/Essential College Facilities

Essential Student Materials: 
  • Graphing calculator and/or computer software
Essential College Facilities:
  • None.

Examples of Primary Texts and References

AuthorTitlePublisherDate/EditionISBN
OpenStax College, Elementary Algebra. OpenStax CNX. Sep 26, 2018 http://cnx.org/contents/0889907c-f0ef-496a-bcb8-2a5bb121717f@3.12.
OpenStax College, Intermediate Algebra. OpenStax CNX. Jun 1, 2018 http://cnx.org/contents/02776133-d49d-49cb-bfaa-67c7f61b25a1@4.13.

Examples of Supporting Texts and References

AuthorTitlePublisher
Barnett, Ziegler, and Byleen, "Finite Mathematics for Business, Economics, Life Sciences and Social Sciences", 13th edition. Prentice Hall, 2015
Sekhon, Rupinder and Bloom, Roberta, "Applied Finite Mathematics", Third Edition. 2016
Sullivan, "Finite Mathematics, An Applied Approach", 11th ed. Wiley, 2011
OpenStax College, College Algebra. OpenStax CNX. Jul 31, 2018 http://cnx.org/contents/9b08c294-057f-4201-9f48-5d6ad992740d@8.1.
OpenStax College, Prealgebra. OpenStax CNX. Sep 26, 2018 http://cnx.org/contents/caa57dab-41c7-455e-bd6f-f443cda5519c@13.2.
OpenStax College, Precalculus. OpenStax CNX. Jul 31, 2018 http://cnx.org/contents/fd53eae1-fa23-47c7-bb1b-972349835c3c@8.1.
Lipmann, D., Business Precalculus, 2016, Open Textbook Store, http://www.opentextbookstore.com/busprecalc/busprecalc.pdf
Bambhania, Doli, et al. Beginning Algebra Student Workbook. First Edition. °®¶¹´«Ã½ College, 2018.
Bambhania, Doli. Intermediate Algebra Student Workbook. First Edition. °®¶¹´«Ã½ College, 2016.

Learning Outcomes and Objectives

Course Objectives

  • Develop skills needed to explore topics related to developing effective learning skills
  • Develop skills needed to develop, throughout the course as applicable, systematic problem solving methods
  • Develop skills needed to investigate linear and exponential models
  • Develop skills needed to investigate methods of solving linear systems using matrices
  • Develop skills needed to formulate and solve linear programming models in at least three variables.
  • Develop skills needed to develop the concepts of the time value of money, and compute compound interest, future and present values and periodic payments
  • Develop skills needed to examine sets and create probability models and investigate their applications. Determine the probability of a specified event and find the conditional probability of an event.

CSLOs

  • Demonstrate sound algebraic techniques by applying proper mathematical notation to problems involving functions.

Outline

  1. Develop skills needed to explore topics related to developing effective learning skills
    1. Learn study skills, such as but not limited to, organizational skills, time management, campus resources, peer learning, test preparation and testtaking strategies
    2. Self-assess using performance criteria to judge and improve one’s own work, such as but not limited to, analyzing and correcting exam errors
    3. Develop academic confidence and mathematical maturity
    4. Develop mathematical habits of mind
      1. Interpret contextualized problems
      2. Predict solutions
      3. Analyze different ideas
      4. Reflect on process and synthesis
  2. Develop skills needed to develop, throughout the course as applicable, systematic problem solving methods
    1. Devise a strategy or plan
    2. Apply precise mathematical notation to convey the thought process behind the work
      1. Organize algebraic and arithmetic work in a logical and neat manner
      2. Organize information, using tools such as graphs, charts, tables and diagrams
      3. Explain each step and thought process
    3. Identify and define known and unknown quantities
    4. Apply mathematical tools to formulate a solution
    5. Communicate the solution clearly
      1. State the solution
      2. Interpret the results in the context of the problem
  3. Develop skills needed to investigate linear and exponential models
    1. Develop skills needed to graph functions and relations in rectangular coordinates
      1. Plot points
      2. Label units and scaling axes appropriate to the problem
      3. Slope of a linear function
      4. Asymptotes for exponential and logarithmic functions
      5. Intercepts
      6. Domain and range
    2. Develop skills needed to apply linear functions and solve linear equations
      1. Solve linear equations
      2. Graph linear functions
      3. Identify and interpret slopes and intercepts
      4. Model linear functions from application problems
    3. Develop skills needed to apply exponential and logarithmic functions and solve exponential equations
      1. Manipulate exponents (integer, fractional, positive and negative) and investigate their properties
      2. Use logarithmic laws to manipulate expressions and equations
      3. Solve exponential equations
      4. Graph exponential and logarithmic functions
      5. Identify and interpret asymptotes and intercepts
      6. Model exponential and logarithmic functions from application problems
  4. Develop skills needed to investigate methods of solving linear systems using matrices
    1. Review the meaning of a solution to a system of equations or inequalities
    2. Review systems of linear equations in two variables
      1. Solve by graphing
      2. Solve by substitution
      3. Solve by elimination
  5. Develop skills needed to formulate and solve linear programming models in at least three variables.
    1. Review inequality notation
    2. Represent the solution to an inequality in two variables graphically
    3. Model applications using inequalities
  6. Develop skills needed to develop the concepts of the time value of money, and compute compound interest, future and present values and periodic payments
    1. Review conversions between percentages and decimals
    2. Review geometric sequences and series
    3. Review summation notation
    4. Review scientific notation to represent large numerical values
  7. Develop skills needed to examine sets and create probability models and investigate their applications. Determine the probability of a specified event and find the conditional probability of an event.
    1. Review ratios, decimals and percentages
    2. Review scientific notation to represent small probabilities and large numerical values.
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