Mathematics I. Calculus And Analytic Geometry P...

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MATH 126 Calculus with Analytic Geometry III (5) NScThird quarter in calculus sequence. Introduction to Taylor polynomials and Taylor series, vector geometry in three dimensions, introduction to multivariable differential calculus, double integrals in Cartesian and polar coordinates. Prerequisite: either a minimum grade of 2.0 in MATH 125, or a score of 4 on BC advanced placement test. Offered: AWSpS.View course details in MyPlan: MATH 126

MATH 334 Accelerated [Honors] Advanced Calculus (5) NScIntroduction to proofs and rigor; uniform convergence, Fourier series and partial differential equations, vector calculus, complex variables. Students who complete this sequence are not required to take MATH 209, MATH 224, MATH 300, MATH 327, MATH 328, and MATH 427. Second year of an accelerated two-year sequence; prepares students for senior-level mathematics courses. Prerequisite: either a minimum grade of 2.0 in MATH 136, or a minimum grade of 3.0 in MATH 126 and a minimum grade of 3.0 in either MATH 207 or MATH 307 and a minimum grade of 3.0 in either MATH 208 or MATH 308. Offered: A.View course details in MyPlan: MATH 334

MATH 335 Accelerated [Honors] Advanced Calculus (5) NScIntroduction to proofs and rigor; uniform convergence, Fourier series and partial differential equations, vector calculus, complex variables. Students who complete this sequence are not required to take MATH 209, MATH 224, MATH 300, MATH 327, MATH 328, and MATH 427. Second year of an accelerated two-year sequence; prepares students for senior-level mathematics courses. Prerequisite: a minimum grade of 2.0 in MATH 334. Offered: W.View course details in MyPlan: MATH 335

MATH 336 Accelerated [Honors] Advanced Calculus (5) NScIntroduction to proofs and rigor; uniform convergence, Fourier series and partial differential equations, vector calculus, complex variables. Students who complete this sequence are not required to take MATH 209, MATH 224, MATH 300, MATH 327, MATH 328, and MATH 427. Second year of an accelerated two-year sequence; prepares students for senior-level mathematics courses. Prerequisite: a minimum grade of 2.0 in MATH 335. Offered: Sp.View course details in MyPlan: MATH 336

MATH 342 Art of Problem Solving (3) NScExplores the artful side of problem-solving, with examples from various fields across mathematics, including combinatorics, number theory, algebra, geometry, probability, and analysis. Offered: A.View course details in MyPlan: MATH 342

MATH 574 Fundamental Concepts of Analysis (3)Sets, real numbers, topology of metric spaces, normed linear spaces, multivariable calculus from an advanced viewpoint. Introduction to Lebesque measure and integration. Intended for students in biostatistics and related fields; does not fulfill requirements for degrees in mathematics.View course details in MyPlan: MATH 574

MATH 575 Fundamental Concepts of Analysis (3)Sets, real numbers, topology of metric spaces, normed linear spaces, multivariable calculus from an advanced viewpoint. Introduction to Lebesque measure and integration. Intended for students in biostatistics and related fields; does not fulfill requirements for degrees in mathematics.View course details in MyPlan: MATH 575

MATH 576 Fundamental Concepts of Analysis (3)Sets, real numbers, topology of metric spaces, normed linear spaces, multivariable calculus from an advanced viewpoint. Introduction to Lebesque measure and integration. Intended for students in biostatistics and related fields; does not fulfill requirements for degrees in mathematics.View course details in MyPlan: MATH 576

My research is in algebraic combinatorics and analytic combinatorics. Algebraic combinatorics is a field of mathematics which is broadly interested in applying a wide variety of combinatorial methods (e.g. generating functions, Möbius inversion, recursive constructions, explicit bijections, polytopes) to analyze a vast array of algebraic structures (e.g. cohomology rings, irreducible decompositions, independent sets, Grothendieck groups, graphs). Analytic combinatorics seeks to give effective asymptotic estimates of combinatorial quantities, often by exploiting generating function identities. Such estimates make frequent use of tools from real and complex analysis (e.g. contour integrals, the saddle point method) and probability theory (e.g. the method of moments). A famous example combining both areas is the Hardy--Ramanujan estimate for the number of ways to write n as an unordered sum of positive integers.Much of my research is related to Young tableau, coinvariant algebras, and the surrounding combinatorics, commutative algebra, and representation theory, especially major index statistics. More technical topics of interest are listed below.

Course Number: MATH 215Support for Pre-CalculusUnits: 2Class: 2 hours lecture (GR)Co-requisite: Math 1Description: Review of the core prerequisite skills, competencies, and concepts needed in pre-calculus: Factoring, operations on rational and radical expressions, absolute value equations and inequalities, exponential and logarithmic expressions and equations, conic sections, functions including composition and inverses, an in-depth focus on quadratic functions, and a review of topics from geometry. Intended for students majoring in business, science, technology, engineering, and mathematics and concurrently enrolled in MATH 1. This course is appropriate for students who are confident in their graphing and beginning algebra skills. 1701.00

Course Number: MATH 216Support for TrigonometryUnits: 1Class: 1 hours lecture (GR)Co-requisite: Math 50Description: Review of the core prerequisite skills, competencies, and concepts needed in trigonometry: Geometry, transformations of graphs, trigonometric functions and applications, conic sections, polar coordinates including the complex plane and analytic geometry. Intended for students majoring in science, technology, engineering, and mathematics and who are concurrently enrolled in MATH 50, Trigonometry. This course is appropriate for students who are confident in their graphing and beginning algebra skills. 1701.00

MTH 173: Calculus with Analytic Geometry I(5 cr.)Presents analytic geometry and the calculus of algebraic and transcendental functions including the study of limits, derivatives, differentials, and introduction to integration along with their applications. Designed for mathematical, physical, and engineering science programs.Prerequisite: Placement recommendation for MTH 173 or a grade of C or higher in MTH 164 or MTH 166 and ENG 111 eligible.Lecture 5 hours per week.(Credit will not be awarded for more than one of MTH 173, MTH 175 or MTH 273.)

Prerequisite: MAT 002 or placement into the course by the Mission College Mathematics Placement Exam. ; or Prerequisite: MAT 000D or placement into the course by the Mission College Mathematics Placement Exam. and Prerequisite: MAT 001 or placement into the course by the Mission College Mathematics Placement Exam. This course is the honors version of the Calculus I course and is the first part of the three-semester calculus sequence for math, physics and engineering majors. Course topics include functions, limits, continuity, differentiation and integration, maxima, minima, and other applications, and the relationship between calculus and analytic geometry for polynomial and transcendental functions. Students may not receive credit for both MATH 003A and MATH 003AH. Enrollment in the Honors Transfer Project is required.

MATH-170 Analytic Geometry & Calculus ICredits 5 / 5 Contact Hours Pre-requisite: Placement into RDNG-030 (ACSR-030), completion of ELAP-110 with a minimum grade of 2.0, or successful completion of RDNG-016 or ACLT-074 with a minimum grade of 3.0; Pre-requisite: MATH-130 and MATH-140 , both with a 2.0 or higher or MATH-145 with a 2.0 or higher or placement into MATH-170. This is the first course in a calculus sequence. Topics covered include the review of algebra and trigonometry functions analytic geometry limits and derivatives of algebraic and transcendental functions. Applications involving derivatives and integrals will also be covered.Course Outcomes 1. This is the first course in a three semester sequence which will introduce students to the concepts and topics of calculus 2. it will serve as an appropriate first course for matehmatics, science or engineering majors. 59ce067264

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