Mathematics for the Liberal Arts

Mathematics

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02: Mathematics for the Liberal Arts
2.01: Course Overview
2.02: Table of Contents
2.03: Sample Syllabus
03: Faculty Resources
3.01: Assessments
04: Module 1- General Problem Solving
4.01: Module 1 Overview
4.02: Discuss- Introduce Yourself to the Class
4.03: Problem Solving
4.04: Test Page
4.05: Supplemental Videos
4.06: Optional Discussion Boards
4.07: Discuss- Problem Solving Application
4.08: Discuss- Math Editor Practice (Blackboard)
4.09: Problem Solving Exercises
05: Growth Models
5.01: Linear (Algebraic) Growth
5.02: Exponential (Geometric) Growth
5.03: Solve Exponentials for Time- Logarithms
5.04: Logistic Growth
5.05: Exercises
06: Module 2- Geometry
6.01: Module 2 Overview
6.02: Perimeter and Area
6.03: Triangles
6.04: Volume
6.05: Surface Area
6.06: Graph Theory
6.07: Supplemental Videos
6.08: Topology Tiling and Non-Euclidean Geometry
6.09: Discuss- Application of Geometry
07: Finance
7.01: Simple Interest
7.02: Compound Interest
7.03: Annuities
7.04: Payout Annuities
7.05: Loans
7.06: Remaining Loan Balance
7.07: Which Equation to Use
7.08: Solving for Time
7.09: Exercises
08: Topic F- Using a Calculator
8.01: F1.01 Beginning and Example 3
8.02: F1.02- Examples 4-5
8.03: F1.03- Example 6
8.04: F1.04- Exercises
09: Describing Data
9.01: Presenting Categorical Data Graphically
9.02: Presenting Quantitative Data Graphically
9.03: Measures of Central Tendency
9.04: Measures of Variation
9.05: Exercises
10: Sets
10.01: Basics
10.02: Union Intersection and Complement
10.03: Venn Diagrams
10.04: Cardinality
10.05: Exercises
11: Statistics
11.01: Module Overview
11.02: Populations and Samples
11.03: Categorizing Data
11.04: Sampling Methods
11.05: How to Mess Things Up Before You Start
11.06: Experiments
11.07: Describing Data
11.08: Understanding Normal Distribution
11.09: The Empirical Rule
11.10: Z-Scores
11.11: Supplemental Videos
11.12: Regression and Correlation
11.13: Exercises
12: Module 3- Set Theory
12.01: Module 3 Overview
12.02: Set Theory
12.03: Supplemental Videos
12.04: Verbal Roster and Set-Builder Notation for a Set
12.05: Consider a Set
12.06: Helpful Links
12.07: Discuss- Application of Set Theory
13: Module 4- Logic
13.01: Module 4 Overview
13.02: Logic
13.03: Truth Tables and Analyzing Arguments- Examples
13.04: Truth Tables- Conjunction and Disjunction
13.05: Truth Tables- Implication
13.06: Analyzing Arguments with Truth Tables
13.07: Negating all some or no statements
13.08: Discuss- Truth Table Practice
13.09: Discuss- Logic Application
14: Module 5- Numeration Systems
14.01: Module 5 Overview
14.02: Numeration
14.03: Supplemental Videos
14.04: Binary Octal and Hexadecimal
14.05: Discuss- Numeration Application
15: Module 6- Consumer Math
15.01: Module 6 Overview
15.02: Consumer Math
15.03: Supplemental Videos
15.04: Average Daily Balance
15.05: How an Amortization Schedule is Calculated
15.06: Discuss- Consumer Math Application
15.07: Discuss- Final Reflection
16: Topic G- Linear Equations Algebra and Spreadsheets
16.01: G1.01- Intro and Slope
16.02: G1.02- Intercepts and Example 3
16.03: G1.03- Examples 4-7
16.04: G1.04- Examples 8-14
16.05: G1.05- Exploring by Graphing Part I
16.06: G1.06- Exploring by Graphing Part II
16.07: G1.07- Section 4
16.08: G1.08- Exercises
17: Topic K- Finance
17.01: K1.01- Simple and Compound Interest
17.02: K1.02- Savings Plans
17.03: K1.03- Installment Loans
17.04: K1.04- Exercises
18: Topic L- Automated Fitting of Models Comparative Goodness of Fit and Outliers
18.01: L1.02- Section 1
18.02: L1.03- Section 2
18.03: L1.04- Section 3
18.04: L1.05- Section 4
18.05: L1.06- Section 5
18.06: L1.07- Section 6
18.07: L1.08- Section 7
18.08: L1.09- Section 8
18.09: L1.10- Exercises
18.10: L1.01- Overview
19: Topic M- Power Functions and Using Logarithmic Graphs
19.01: M1.01- Introduction
19.02: M1.02- Power Models Part I
19.03: M1.03- Power Models Part II
19.04: M1.04- Why We Use Logarithms
19.05: M1.05- Finding Logarithms
19.06: M1.06- Logarithmic Graphs Part I
19.07: M1.07- Logarithmic Graphs Part II
19.08: M1.08- Exercises
20: Topic H- Linear Formulas Word Problems
20.01: H1.01- Overview
20.02: H1.02- Example 1
20.03: H1.03- Example 2
20.04: H1.04- Example 3
20.05: H1.05- Example 3 Alternative Method
20.06: H1.06- Example 4
20.07: H1.07- Interpreting the Slope and Intercept
20.08: H1.08- Exercises
21: Topic I- Linear and Quadratic Models
21.01: I1.01- Overview
21.02: I1.02- Section 1
21.03: I1.03- Section 2
21.04: I1.04- Section 3 Part 1
21.05: I1.05- Section 3 Part 2
21.06: I1.06- Section 4
21.07: I1.07- Section 5 Part 1
21.08: I1.08- Section 5 Part 2
21.09: I1.09- Section 6
21.10: I1.10- Section 7
21.11: I1.11- Section 8
21.12: I1.12- Exercises
22: Topic J- Exponential Models and Model Comparison Techniques
22.01: J1.01- Overview
22.02: J1.02- Section 1 Part 1
22.03: J1.03- Section 1 Part 2
22.04: J1.04- Section 1 Part 3
22.05: J1.05- Section 1 Part 4
22.06: J1.06- Section 2 Part 1
22.07: J1.07- Section 2 Example 6
22.08: J1.08- Section 3
22.09: J1.09- Section 4 Part 1
22.10: J1.10- Section 4 Part 2
22.11: J1.11- Exercises
23: Topic C- Communicating Precision of Approximate Numbers
23.01: C1.01 Overview
23.02: C1.02- Reporting
23.03: C1.03- Rounding
23.04: C1.04- Precision
23.05: C1.05- Interval Part 1
23.06: C1.06- Interval Part 2
23.07: C1.07- Interval Part 3
23.08: C1.08- Interval Part 4
23.09: C1.09- Exercises
24: Topic E- Using a Spreadsheet
24.01: E1.11- Exercises
24.02: E1.01- Overview
24.03: E1.02- Section 2 Part 1
24.04: E1.03- Section 2 Part 2
24.05: E1.04- Section 2 Part 3
24.06: E1.05- Graphs Part 1
24.07: E1.06- Graphs Part 2
24.08: E1.07- Section 4
24.09: E1.08- Section 5
24.10: E1.09- Section 6 Part 1
24.11: E1.10- Section 6 Part 2
25: Topic O- Combining Modeling Formulas
25.01: O.01- Overview
25.02: O.02- Section 1 Part 1
25.03: O.03- Section 1 Part 2
25.04: O.04- Section 2
25.05: O.05- Section 3
25.06: O.06- Section 4
26: Topic N- Additional Useful Modeling Formulas
26.01: N1.01- Overview
26.02: N1.02- Section 1
26.03: N1.03- Section 2 Part 1
26.04: N1.04- Section 2 Part 2
26.05: N1.05- Section 2 Part 3
26.06: N1.06- Section 3 Part 1
26.07: N1.07- Section 3 Part 2
26.08: N1.08- Section 4
26.09: N1.09- Section 5
26.10: N1.10- Exercises
27: Topic B- Solving Equations Evaluating Expressions and Checking Your Work
27.01: B1.01- Introduction
27.02: B1.02- Section 1
27.03: B1.03- Section 2
27.04: B1.04- Section 3
27.05: B1.05- Section 4
27.06: B1.06- Exercises
28: Topic D- FormulasComputing and Graphing
28.01: D1.01- Introduction
28.02: D1.02- Examples 25
28.03: D1.03- Examples 69
28.04: D1.04- Examples 1011
28.05: D1.05- Exercises