Mathematics
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### Contact

Julia Morales
Email: julia.morales@gcccd.edu
Phone: (619) 644-7705

# Mathematics Department

## Evaluation of Student Learning Outcomes:

### Applicable to all Math Courses

To evaluate the student’s ability in each of the below learning outcomes, the students will complete one or more of the following:

• Homework
• Quizzes
• Exams
• Projects
• Comprehensive Final Exam
Math 90 Student Learning Outcomes
• The student will be able to solve linear, quadratic rational and radical equations, linear systems and linear inequalities.

• The student will be able to simplify and evaluate algebraic expressions.

• A student will be able to interpret linear equations numerically, graphically and symbolically and be able to transition between them.

• A student will be able to apply appropriate algebraic methods to solve word problems.

Math 103 Student Learning Outcomes
• A student will be able to categorize intermediate algebra problems and use appropriate theorems, formulas, and algorithms to simplify or solve them.
• A student will be able to formulate, analyze, and differentiate mathematical functions numerically, graphically, and symbolically at the intermediate algebra level and have the ability to transition between these representations.
• A student will be able to apply appropriate algebraic methods to solve applications.
Math 110 Student Learning Outcomes
• A student will be able to categorize intermediate algebra problems and use appropriate theorems, formulas, and algorithms to solve them.

• A student will be able to use the appropriate technology to solve problems requiring intermediate algebra.

• A student will be able to formulate, analyze, and differentiate mathematical functions numerically, graphically, and symbolically at the intermediate algebra level and have the ability to transition between these representations.

• A student will be able to communicate the mathematical process and assess the validity of the solution.

Math 120 Student Learning Outcomes
• Students will be able to use reasoning techniques and problem solving strategies to catergorize and solve a wide range of problems covered in a survey of mathematical topics.
• Students will be able to apply Intermediate Algebra skills to solve problems from survey topics.
• Students will be able to analyze patterns, and applu visualization and organization techniques to a range of topics that can be applied to liberal arts courses and life experiences.
Math 125 Student Learning Outcomes
• The student will be able to use various problem solving strategies.

• The student will be able to develop their number sense by demonstrating competence in using different numeration systems.

• A student will be able to analyze and contrast the basic operations of the real number system.

• A student will be able to demonstrate proportional reasoning when working with the rational numbers.

Math 126 Student Learning Outcomes
• The student will have knowledge of basic geometry vocabulary.

• The student will be able to demonstrate the elementary concepts of statistics.

• The student will be able to demonstrate the elementary concepts of probability.

• The student will be able to think logically, using inductive reasoning to formulate reasonable conjectures and using deductive reasoning for justification, formally or informally.

• Use formulas and Pythagorean Theorem to find perimeter, area and volume

• State and apply congruence and similarity properties.

• A student will be able to demonstrate knowledge of geometric concepts in the K-8 curriculum.

Math 128 Student Learning Outcomes
• The student will be able to identify different strategies that children use to solve mathematics problems.

• The student will be able to analyze children’s mathematical thinking by watching videos and conducting interviews.

• A student will be able to communicate children’s ways of solving mathematical problems.

Math 160 Student Learning Outcomes
• Students will be able to categorize data set and use appropriate methods to find, summarize, and visually display statistics about the data set.

• Students will be able to interpret visual display of statistical data.

• Students will be able to take sample statistics and use appropriate procedures, methods, and test to make inferences about the population.

• Students will be able to categorize probability problems and use appropriate theorems and formulas to solve them.

• Students will be able to use the appropriate technology to analyze statistical problems.

• Students will be able to interpret, communicate, and assess the validity of statistical processes and conclusions.
Math 170 Student Learning Outcomes
• A student will be able to categorize trigonometric problems and use appropriate theorems, formulas, and algorithms to solve them.

• A student will be able to use the appropriate technology to solve problems requiring trigonometry.

• A student will be able to formulate, analyze, and differentiate trigonometric functions numerically, graphically, and symbolically and have the ability to transition between these representations.

• A student will be able to communicate the mathematical process and assess the validity of the solution.

Math 175 Student Learning Outcomes
• Students will be able to categorize college algebra problems and use appropriate theorems, formulas, and algorithms to solve them.

• Students will be able to use the appropriate technology to solve problems requiring college algebra.

• Students will be able to formulate, analyze, and differentiate mathematical functions numerically, graphically, and symbolically at the college algebra level and have the ability to transition between these representations.

• Students will be able to communicate the mathematical process and assess the validity of the solution.

• Students will be able to analyze and graph polynomial functions.
Math 176 Student Learning Outcomes
• A student will be able to categorize precalculus problems and use appropriate theorems, formulas, and algorithms to solve them.

• A student will be able to use the appropriate technology to solve problems requiring precalculus.

• A student will be able to formulate, analyze, and differentiate mathematical functions numerically, graphically, and symbolically at the precalculus level and have the ability to transition between these representations.

• A student will be able to communicate the mathematical process and assess the validity of the solution.

Math 178 Student Learning Outcomes
• A student will be able to categorize matrix algebra problems and use appropriate theorems, formulas, and algorithms to solve them.

• A student will be able to define and apply the concepts of limits, continuity, derivatives and antiderivatives to solve a variety of problems.

• A student will be able to demonstrate understanding of the geometric relationship between a function, its first and second derivatives and its antiderivatives.

• A student will be able to interpret and analyze information to develop strategies for solving problems in business and behavioral science involving related rates and optimization problems.

• A student will be able to communicate the mathematical process and assess the validity of the solution.

Math 180 Student Learning Outcomes
• A student will be able to define and apply the concepts of limits, continuity, derivatives and antiderivatives to solve a variety of problems.

• A student will be able to demonstrate understanding of the geometric relationship between a function, its first and second derivatives and its antiderivatives.

• A student will be able to interpret and analyze information to develop strategies for solving problems involving related rates, optimization, work, volumes, arc length, and surface area.

• A student will be able to communicate the mathematical process and assess the validity of the solution.

Math 198 (Supervised Tutoring) Student Learning Outcomes
Not an academic course – perhaps student service oriented.
Math 245 Student Learning Outcomes
• A student will be able to evaluate and simplify basic logic.

• A student will be able to define and apply the concepts from elementary number theory and elementary set theory.

• A student will be able to apply direct and indirect methods of proof.

• A student will be able to solve counting problems.

Math 280 Student Learning Outcomes
• A student will be able to choose and apply appropriate techniques of integration.

• A student will be able to determine the convergence or divergence of sequences and series.

• A student will be able to solve problems involving power series representations of functions.

• A student will be able to analyze and graph polar equations, parametric equations, and conic sections.

• A student will be able to solve problems using polar and parametric equations that involve tangent lines, arc length, and surface area.

Math 281 Student Learning Outcomes
• A student will be able to use rectangular, polar, parametric, cylindrical and spherical coordinates to solve a variety of integrals and associated application problems.

• A student will be able to analyze, graph and solve equations related to multi-variable functions.

• A student will be able to evaluate, interpret and apply higher order partial derivatives.

• A student will be able to analyze and interpret physical examples of vector fields and vector functions.

Math 284 Student Learning Outcomes
• A student will be able to characterize and solve a system of linear equations, and determine types of solutions and the existence of a solution.

• A student will be able to classify matrices and their properties.

• A student will be able to demonstrate and analyze the use of matrix algebra with its associated properties.

• A student will be able to demonstrate and analyze the use of the determinant with its associated properties.

• A student will be able to demonstrate and analyze the use of vector spaces, linear transformations, eigenvalues and eigenvectors.

• A student will be able to analyze, identify, and use appropriate methods, definitions, and techniques in solving application problems.

Math 285 Student Learning Outcomes
• A student will be able to categorize differential equations and use appropriate theorems, formulas, and algorithms to solve them.

• A student will be able to use the appropriate technology to solve problems requiring differential equations.

• A student will be able to formulate, analyze, and differentiate mathematical conceptions requiring differential equations and manipulate them numerically, graphically, and symbolically as well as have the ability to transition between these representations.

• A student will be able to communicate the mathematical process and assess the validity of the solution.

Last Updated: 06/29/2020

Julia Morales