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Center for Curriculum and Transfer Articulation
College Mathematics with Review
Course: MAT146

First Term: 2019 Summer
Lecture   6.0 Credit(s)   6.0 Period(s)   6.0 Load  
Subject Type: Academic
Load Formula: S- Standard

Description: Working knowledge of college-level mathematics and its applications to real-life problems. Emphasis on understanding mathematical concepts and their applications. Topics include set theory, probability, statistics, finance, and geometry.

MCCCD Official Course Competencies
1. Distinguish between a subset and a proper subset. (I)
2. Use Venn diagrams to solve applied problems involving the union, intersection, and complement of sets. (I)
3. Distinguish between experimental and theoretical probability, and use each to solve applied problems. (II)
4. Use conditional probability to solve applied problems involving dependent events. (II)
5. Use probabilities to calculate odds, either in favor of or against a particular event, and vice versa. (II)
6. Solve probability problems involving combinations and permutations. (II)
7. Organize, analyze, and display data using multiple representations. (III)
8. Calculate and interpret measures of central tendency and dispersion. (III)
9. Calculate and interpret measures of location (percentiles and quartiles). (III)
10. Solve applications using the normal distribution. (III)
11. Solve applications involving loans and amortizations. (IV)
12. Solve applications involving annuities. (IV)
13. Calculate the annual interest rate given the annual yield and vice versa. (IV)
14. Solve real-life problems using exponential growth. (IV)
15. Use appropriate formulas and units of measure for composite geometric shapes and figures from real life problems. (V)
16. Apply unit analysis skills to solve applied problems. (V)
17. Use dimensional analysis to convert units of measurement between different systems. (V)
18. Use written and verbal communication to describe process and results. (I-VII)
19. Model and solve real-world problems. (I-VII)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.
MCCCD Official Course Outline
I. Set theory
   A. Venn diagrams
   B. Set operations
II. Probability
   A. Experimental vs. theoretical probability
   B. Conditional
   C. Odds
   D. Permutations and combinations
III. Statistics
   A. Descriptive
   B. Normal distribution
   C. Percentiles and quartiles
IV. Finance
   A. Annuities
   B. Simple vs. compound interest
   C. Exponential growth
   D. Loans
   E. Rates vs. yield
V. Geometry
   A. Perimeter/area/volume
   B. Unit conversions
VI. Additional topics - departments may include one or more of the following topics in the course
   A. Logic
   B. Numeration systems
   C. Inferential statistics
   D. Voting theory
   E. Math of music
   F. Index numbers
   G. Graph theory
   H. Geometry topics
      1. Symmetry
      2. Tessellations
      3. Fractals
VII. Review of selected topics from MAT08+ Basic Arithmetic and MAT09+ Introductory Algebra as needed throughout the course. These topics may also be placed throughout the outline as they are deemed necessary.
MCCCD Governing Board Approval Date: January 22, 2019

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.