Lake Tahoe Community College Math Department SLOs and MASLOs

Lake Tahoe Community College Math Department SLOs and MASLOs

MAT 102 MAT103A MAT103B MAT104 MAT105 MAT106 MAT107 MAT118 MAT119 MAT152A MAT152AA MAT152B MAT152BB MAT153 MAT154A MAT154AA MAT155A MAT155G MAT157 MAT157P MAT183 MAT184 MAT185 MAT187A MAT187B MAT201 MAT202 MAT203 MAT204 MAT550

Program Level SLOs (Draft)

1. Produce, interpret, and analyze data and graphs

2. Solve mathematical equations

3. Construct, manipulate, and utilize mathematical functions

4. Engage in logical and critical thinking

5. Apply mathematical techniques to solve problems that arise in the real world

MAT 102

Survey of Mathematical Ideas

Student Learning Outcomes
1. Apply combinatorics and the rules of probability to real life situations.
2. Analyze statistical information and the 'Normal' distribution to make conclusions based on data.
3. Incorporate the mathematics of finance to be consumer-wise.
4. Utilize trigonometric formulas to solve problems involving triangles.
5. Develop exponential growth and decay models.

Methods of Assessing Student Learning Outcomes
1. Class participation
2. Homework
3. Quizzes
4. Exams
5. Final exams
6. Projects/presentations
6. Final exam
6. Library assignment (at instructor's discretion)

MAT 103A

College Algebra Part 1

Student Learning Outcomes
1. Produce and interpret graphs of functions and relations.
2. Apply techniques to solve polynomial and rational equations and inequalities.
3. Model real life situations using algebraic methods.
4. Simplify algebraic expressions using skills obtained in the course.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 103B

College Algebra Part II

Student Learning Outcomes
1. Prove and derive mathematical statements using various methods including induction.
2. Employ matrices and their properties to solve systems of equations.
3. Construct and interpret graphs of conic sections and transcendental functions.
4. Apply the topics of the course to real world situations.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 104

Trigonometry

Student Learning Outcomes
1. Provide and analyze graphs of trigonometric functions.
2. Apply trigonometric techniques to solve problems in real world contexts.
3. Derive and prove trigonometric properties and identities.
4. Produce solutions to equations using skills developed in trigonometry.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 105

Calculus (first quarter)

Student Learning Outcomes
1. Differentiate functions of a single variable using the basic rules of differentiation.
2. Apply the derivative to describe phenomena arising from real-life situations.
3. Sketch and analyze graphs using the first and second derivatives.
4. Prove corollaries and derive equations using the theorems that relate to differential calculus.
5. Determine limits and continuity using graphical, analytical, and tabular techniques.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 106

Calculus (second quarter)

Student Learning Outcomes
1. Employ integrals to applications from physics.
2. Apply the Fundamental Theorem of Calculus in determining indefinite integrals.
3. Compute geometric quantities using integrals.
4. Solve differential equations.
5. Determine integrals and derivatives of transcendental functions.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self assessments

MAT 107

Calculus (third quarter)

Student Learning Outcomes
1. Test series for convergence.
2. Relate analytic functions to their power series.
3. Apply calculus to functions of several variables.
4. Model real life applications using three-dimensional constructs.
5. Perform arithmetic on vectors using both component and geometric forms.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 118

Calculus for Business and Social Sciences

Student Learning Outcomes
1. Evaluate limits, derivatives, and integrals for both single variable and multivariable functions.
2. Apply the integral and derivative to analyze functions that arise from business and social science applications.
3. Solve differential equations that arise from business and social science applications.
4. Apply analytic geometry to analyze curves and surfaces.

Methods of Assessing Student Learning Outcomes
1. Homework.
2. Exams.
3. Projects that demonstrate an application of calculus relating to business and social sciences.
4. Self assessment.
5. Participation in class discussion.

MAT 119

Topics in Applied Mathematics

Student Learning Outcomes
1. Apply mathematics to solve both minor and major problems that arise in the professional world.
2. Explore and demonstrate the artistic and conceptual beauty of mathematics.

Methods of Assessing Student Learning Outcomes
1. Written paper
2. Oral presentation
3. Self assessment

MAT 152A

Basic Algebra Part 1

Student Learning Outcomes
1. Solve linear equations and inequalities.
2. Define and employ terminology and arithmetic relating to polynomials in one variable.
3. Determine the equation and graph a line given information about the line.
4. Manipulate expressions with integral exponents.
5. Apply course topics to real-world situations.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 152AA

Basic Algebra Part I Expanded

MAT 152B

Basic Algebra Part II

Student Learning Outcomes
1. Factor a polynomial.
2. Apply the four basic operations to rational and radical expressions.
3. Solve equations with rational and radical expressions.
4. Solve a 2 x 2 system of linear equations.
5. Solve quadratic equations.
6. Apply course topics to real world situations.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 152BB

Basic Algebra Part II Expanded

MAT 153

Euclidean Geometry

Student Learning Outcomes
1. Prove geometric statements using classical axioms and theorems.
2. Perform ruler and compass constructions.
3. Make deductions using the rules of logic.
4. Solve problems involving parallel lines, triangles, and angles.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 154A

Intermediate Algebra

Student Learning Outcomes
1. Apply the course topics to real-world situations.
2. Sketch and interpret the graphs of functions and relations introduced in intermediate algebra.
3. Simplify mathematical expressions into forms more amenable to analysis.
4. Provide solutions to equations using methods from intermediate algebra.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 154AA

Intermediate Algebra Expanded

MAT 155A

Calculator Analysis

Student Learning Outcomes
1. Perform algebraic and arithmetic tasks using the TI 89 calculator.
2. Analyze the readout from the TI 89 calculator in order to make mathematical conclusions.

Methods of Assessing Student Learning Outcomes
1. Class discussion about the usage of the TI 89 calculator and the interpretations of its readout.
2. In-class project using the TI 89 calculator to solve an involved mathematical problem.
3. Self evaluation of learning that occurred in the class.

MAT 155G

Calculator Graphics

Student Learning Outcomes
1. Create a large variety of graphs in each of the main coordinate systems using the TI 89 calculator.
2. Analyze the graphs from the TI 89 calculator in order to make mathematical conclusions.

Methods of Assessing Student Learning Outcomes
1. Class discussion about the usage of the TI 89 calculator to produce graphs and the interpretations of the graphs.
2. In-class project using the TI 89 calculator to create and analyze a complicated graph.
3. Self evaluation of learning that occurred in the class.

MAT 157

Mathematics and Gambling

Student Learning Outcomes
1. Implement statistical theory to calculate odds and expected values for various casino games.
2. Determine the hourly revenues that are theoretically achieved by casino tables and gaming machines.

Methods of Assessing Student Learning Outcomes
1. Class discussion about odds, expected values, and gaming revenue.
2. In-class project that investigates the statistics of a particular casino game.
3. Self evaluation of learning that occurred in the class.
4. Demonstrated use of the statistical knowledge in a mock casino game.

Mat 157P

Applied Mathematics: Statistics of Poker

Student Learning Outcomes
1. Implement statistical theory to calculate odds and expected values for various poker games.
2. Apply game theory to optimize betting strategies for poker.

Methods of Assessing Student Learning Outcomes
1. Class discussion about odds, expected values, and gaming revenue.
2. In-class project that investigates the statistics of a particular poker scenario.
3. Self-evaluation of learning that occurred in the class.
4. Demonstrated use of the statistical knowledge in a mock poker game.

MAT 183

Supplement for Basic Algebra Part I

Student Learning Outcomes
Acquire successful techniques for solving beginning algebra problems.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentations
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 184

Supplement for Basic Algebra Part II

Student Learning Outcomes
Acquire successful techniques for solving basic algebra problems.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 185

Supplement for Intermediate Algebra

Student Learning Outcomes
Acquire successful techniques for solving intermediate algebra problems.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentations
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 187A

Basic Arithmetic Part I

Student Learning Outcomes
1. Perform arithmetic operations with whole numbers, fractions, and decimals.
2. Translate written language into mathematical statements.
3. Apply the concepts in the course to real-life situations.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Chapter exams
4. Final exam
5. Projects
6. Presentations
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 187B

Basic Arithmetic Part II

Student Learning Outcomes
1. Solve problems involving decimals, percents and beginning algebra
2. Translate written statements in to mathematical statements.
3. Apply the topics of Basic Arithmetic (Part II) to real life situations.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentations
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 188

Supplement for MAT 102: A Survey of Mathematical Ideas

Student Learning Outcomes
Acquire successful techniques for solving mathematical problems.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 201

Elementary Statistics

Student Learning Outcomes
1. Design and implement an unbiased study that will produce sound statistical results.
2. Generate and interpret statistics graphs from data that arise from surveys and experiments.
3. Implement the rules of probability.
4. Apply confidence intervals and test hypotheses to make conclusions about data that come from practical applications.
5. Perform regression analysis to make informed predictions about relationships between quantitative variables.

Methods of Assessing Student Learning Outcomes
1. Quizzes that involve the interpretation of data or results.
2. Exams that include descriptive and inferential statistics questions.
3. Homework that involves analysis of scenarios that involve data.
4. Projects that require the use of statistics to justify conclusions about the research.
5. In-class discussion about statistical concepts.
6. Self evaluation of learning that occurred in the class.
7. A journal that includes reflections on what was learned.

MAT 202

Calculus (4^th Quarter)

Student Learning Outcomes
1. Perform calculus on vector value functions.
2. Evaluate double and triple integrals.
3. Integrate vector value functions.
4. Relate types of single and multiple integrals using the major theorems of vector calculus.
5. Apply multivariable calculus to problems arising from physics.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessment

MAT 203

Linear Algebra

Student Learning Outcomes
1. Apply the theory and techniques of linear algebra in applications from physics, operations research and other scientific disciplines.
2. Solve linear systems, including under- and over-determined systems.
3. Prove lemmas and corollaries in linear algebra.
4. Relate linear transformations to their matrices with respect to given bases.
5. Describe linear transformations as functions mapping an n-dimensional space to an m-dimensional space.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessments

MAT 204

Differential Equations

Student Learning Outcomes
1. Apply ordinary differential equations to problems from physics, biology, and other scientific disciplines.
2. Employ the technique of transformations in finding solutions to ordinary differential equations.
3. Prove results from the field of differential equations.
4. Sketch direction fields for first-order ordinary differential equations.
5. Solve differential equations using sequences, series, and matrices.

Methods of Assessing Student Learning Outcomes
1. Homework
2. Quizzes
3. Exams
4. Final exam
5. Projects
6. Presentation
7. Paper
8. Journal
9. Pre/post tests
10. Self-assessments

MAT 550

CAHSEE Math Preparation

Student Learning Outcomes
1. Pass a practice CAHSEE exam.
2. Solve mathematics problems that are typical of problems seen on the CAHSEE.
3. Apply geometric principles to solve mathematics problems that are used in the workplace.
4. Implement statistical constructs to analyze data generated charts.

Methods of Assessing Student Learning Outcomes
1. Computerized assessment
2. Participation
3. Pre/post test
4. Quizzes
5. Exams
6. Portfolio
7. California High School Exit Exam (CAHSEE)