*Course Sequence, Descriptions and Topics*

*Course Sequence and Requisites*

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Mathematics-Sample 4-year Plan of Study

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SMEP Eligibilty FORM

Mathematics-Sample 4-year Plan of Study

**Courses in Mathematics for the Mathematics Major**

**CSC 110 or ISTA 130 **

** CSC 110** -- Introduction to Computer Programming (4 units)

Description: Programming in a high-level language such as Java. with an emphasis on program design issues. Programming topics: basic control structures, primitive data types, arrays, classes, simple recursion.

Grading: Regular grades are awarded for this course: A B C D E

Prerequisite(s): Algebra recommended. Typical structure: 3 hours lecture, 1 hour laboratory.

Usually offered: Fall, Spring.

__ ISTA 130__ -- Computational Thinking and Doing (4 units) Description: An introduction to computational techniques and using a modern programming language to solve current problems drawn from science, technology, and the arts. Topics include control structures, elementary data structures, and effective program design and implementation techniques. Weekly laboratory.

Grading: A B C D E

Prerequisite(s): Algebra recommended. Typical structure: 3 hours lecture, 1 hour laboratory.

Usually offered: Fall, Spring.

__ MATH 122A__ -- Functions for Calculus (1 unit)

**Description:**Elementary functions, their properties, and uses in modeling. A graphing calculator is required for this course.

**Grading:**Traditional Grades or Pass/Fail Option

**Prerequisite(s):**Appropriate Math Placement Level or classes with grade C or better

*Usually offered: Fall, Spring.*

__ MATH 122B__ -- First-Semester Calculus (4 units)

**Description:**An introduction to first-semester calculus for engineering, science and math students, from rates of change to integration, with an emphasis on understanding, problem solving, and modeling. Topics covered include key concepts of derivative and definite integral, techniques of differentiation, and applications, using algebraic and transcendental functions. Examinations are proctored. Except as per University policy on repeating a course, credit will not be given for this course if the student has credit in a higher level math course. Such students may be dropped from the course.

**Grading:**Traditional Grades

**Prerequisite(s):**Math 122A with a C or better or Enrolled concurrently in Math 122A

*Usually offered: Fall, Spring.*

__ MATH 129 __--

**Calculus II**(3 units)

Description: Continuation of MATH 124 or MATH 125. Techniques of symbolic and numerical integration, applications of the definite integral to geometry, physics, economics, and probability; differential equations from a numerical, graphical, and algebraic point of view; modeling using differential equations, approximations by Taylor series. A graphing calculator is required for this course.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): MATH 124 or MATH 125. Credit allowed for only

__one__of the following: MATH 129 or MATH 250A.

*Usually offered: Fall, Spring.*

** MATH 223 **--

**Vector Calculus**(4 units)

Description: Vectors, differential and integral calculus of several variables.

Grading: Regular grades are awarded for this course: A B C D E. Available to qualified students for Pass/Fail Option.

Prerequisite(s): MATH 129 or MATH 250A.

*Usually offered: Fall, Spring.*

** MATH 313 **--

**Introduction to Linear Algebra**(3 units)

Description: Vector spaces, linear transformations and matrices. There is some emphasis on the writing of proofs.

Grading: Regular grades are awarded for this course: A B C D E. Available to qualified students for Pass/Fail Option.

Prerequisite(s): MATH 129 or MATH 250A.

*Usually offered: Fall, Spring.*

** MATH 315 **--

**Introduction to Number Theory and Modern Algebra**(3 units)

Description: Elementary number theory, complex numbers, field axioms, polynomial rings; techniques for solving polynomial equations with integer and real coefficients.

Grading: Regular grades are awarded for this course: A B C D E. Available to qualified students for Pass/Fail Option.

Prerequisite(s): MATH 313

*Usually offered: Spring.*

** MATH 323 **--

**Formal Mathematical Reasoning and Writing**(3 units)

Description: Elementary real analysis as an introduction to abstract mathematics and the use of mathematical language. Elementary logic and quantifiers; manipulations with sets, relations and functions, including images and pre-images; properties of the real numbers; supremum and infimum; other topics selected from cardinality, the topology of the real line, sequence and limits of sequences and functions; the emphasis throughout is on proving theorems. This is a Writing Emphasis Course.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): satisfaction of the Mid-Career Writing Assessment (MCWA) or the former upper-division writing proficiency requirement (UDWPE); MATH 215.

*Usually offered: Fall, Spring.*

__ MATH 330 __--

**Topics in Geometry**(3 units)

Description: Topics to be selected from 2- and 3-dimensional combinatorial geometry, Euclidean transformational geometry, symmetry, geometric optimization (shortest path problems), theorem of the arithmetic and geometric means, isoperimetric problem, polyhedra, and 3- and... and 2-dimensional crystallography.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): MATH 215.

*Usually offered: Fall.*

** MATH 355 **--

**Analysis of Ordinary Differential Equations**(3 units)

Description: Linear and nonlinear equations; basic solution techniques; qualitative and numerical methods; systems of equations; computer studies; applications drawn from physical, biological and social sciences.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): MATH 215. Credit allowed for only one of these courses: MATH 355, MATH 254, or MATH 250B.

*Usually offered: Fall, Spring*.

** MATH 361** -- Statistics for Teaching (3 units)

**Description:**Intended for students of mathematics interested in education, this course prepares students to teach an introductory statistics course. Focusing on statistical inference, the course has two goals in addition to teaching the statistical techniques. One is theoretical: To explore the links between probability, statistics, and calculus showing students the mathematical underpinnings. The second is applied: Provides experience with real data sets that bear on education.

**Grading:**Traditional Grades or Pass/Fail Option

**Prerequisite(s):**MATH 223 and MATH 215 or equivalent.

*Usually offered: Fall, Spring.*

** MATH 404 **--

**History of Mathematics**(3 units)

Description: The development of mathematics from ancient times through the 17th century, with emphasis on problem solving. The study of selected topics from each field is extended to the 20th century.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): MATH 323.

May be convened with: MATH 504.

*Usually offered: Fall.*

** MATH 407 **--

**Synthesis of Mathematical Concepts**(3 units)

Description: Math taught in secondary schools from an advanced perspective: Algebra, Geometry, and Discrete Math - with particular emphasis on modeling and investigating the deep mathematics behind "routine" problems.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): MATH 323 and MATH 315 or MATH 415A and MATH 330 or 430.

*Usually offered: Fall.*

**Courses in Teaching and Learning Mathematics **

** MATH 205 **--

**Teaching Mathematics**(LEC 2) (3 units)

Description: An introduction to secondary mathematics teaching. Appropriate for students exploring mathematics teaching as a career and required for students in the College of Mathematics teacher preparation program. This course includes a minimum of 16 hours of classroom observation in local secondary mathematics classrooms. Student's schedule must be flexible enough to accommodate this requirement. Topics include issues in mathematics education, introduction to teaching mathematics in secondary schools, and introduction to the National Council of Teachers of Mathematics’ (NCTM) Principles and Standards for School Mathematics.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): At least sophomore standing in a mathematics or mathematics education major.

*Usually offered: Fall, Spring.*

__ EDP 301__ -- Educational Psychology and Child and Adolescent Development (3 units)

**Description:**Theories and educational applications of human development from early childhood through the adolescent years.

**Prerequisite(s):**Admission to the College of Education

**Grading:**Regular grades are awarded for this course: A B C D E.

*Usually offered: Fall, Spring.*

** SERP 301B **--

**Mainstreaming**- Secondary (2 units)

Description: Introduction to the integration of special students into the regular secondary classrooms.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): Open to secondary education majors only.

*Usually offered: Fall, Spring.*

** TLS 435 **--

**Content Area Literacy in a Multicultural School**(3 units)

Description: Prepares teachers to integrate knowledge of cultural diversity and literacy processes with their content and specialization.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): admission to a teacher preparation program

May be convened with: LRC 535.

*Usually offered: Fall, Spring, Summer*.

** TLS 416 **–

**tructured English Immersion**(3 units)

Description: Theory and practice in sheltered content instruction for English language learners. Also considered are historical and political contexts for the education of English learners, national and state education policies affecting ELLs, and the relationship between these policies and second language acquisition theory.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): admission to a teacher preparation program*Usually offered: Fall*

** MATH 406A **--

**Curriculum & Assessment in Secondary School Mathematics**(4 units)

Description: Examination of secondary school mathematics curricula with emphasis on the development of math topics; study of assessment with emphasis on its alignment with instruction; and practicum experiences with emphasis on curriculum analysis and implementation of assessment measures.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): MATH 330, MATH 205, STCH 310; MATH 315 and MATH 362 must either be taken prior or concurrently with MATH 406A. This course is for Math Education majors only.

*Usually offered: Spring.*

** MATH 406B **--

**Methods of Teaching Mathematics in Secondary Schools**(4 units)

Description: Provides students with knowledge and experience to enable them to become effective secondary school mathematics teachers. Emphasis on modes of instruction, problem solving, use of technology, assessment, and national standards with special attention to the teaching of geometry, algebra, statistics, and discrete mathematics. Practicum experience focuses on effective teaching strategies and techniques used in secondary schools.

Grading: Regular grades are awarded for this course: A B C D E.

Prerequisite(s): MATH 406A, STCH 310. This course is for Math Education majors only.

*Usually offered: Fall.*

** MATH 494C**–

**Mathematics Teaching Practicum**(Student Teaching) (15 units)

Description: This practicum provides secondary mathematics teachers with student teaching experiences under the supervision of experienced classroom teachers. Responsibility for teaching will increase gradually throughout the semester. A Student Teaching Placement Application must be completed and submitted to student's math advisor early in the semester prior to student teaching.

Grading: Alternative grades are awarded for this course: S P E.

Prerequisite(s): 406B, Secondary Mathematics Education Program required mathematics courses; Approval from the Secondary Mathematics Program Faculty; An overall GPA of 2.0, a major GPA of 2.0, and a GPA of 2.5 in the Courses in Teaching and Learning Mathematics.

*Usually offered: Fall, Spring.*