View the 2010-2011 Catalog (4 MB) - Lake Tahoe Community College

LTCC CATALOG 2010-2011 175 MATHEMATICSMAT 103B COLLEGE ALGEBRA (PART II)Lecture 4, Lab 0, Units 4This course covers the properties of logarithms and exponentials,conic sections, systems of equations and their solution with GaussianElimination, a brief introduction into linear programming, sequences,series, permutations, and combinations.Transfers to CSU, UNR, UC (unit limit)PREREQUISITE: MAT 153 and either 154A or 154AA with a grade of “C” or betteror equivalent or appropriate skills demonstrated through the math assessment process.MAT 104 COLLEGE TRIGONOMETRYLecture 4, Lab 0, Units 4This course is the study of trigonometric functions of real numbersand angles, their graphs and properties; functions of multiple angles,identities, reduction formulas, radian measure; inverse trigonometricfunctions; solution of triangles, polar coordinates, parametric equations;and complex numbers.Transfers to CSU, UNRPREREQUISITE: MAT 103A with a grade of “C” or better or equivalent orappropriate skills demonstrated through the math assessment process.COREQUISITE: MAT 103B or equivalent or appropriate skills demonstrated throughthe math assessment process. Prior completion of MAT 103B with a grade of “C” orbetter also satisfies this corequisite.MAT 105 CALCULUS AND ANALYTIC GEOMETRY(PART I)Lecture 5, Lab 0, Units 5This course deals with elements of analytical geometry, limit theory,continuity of the derivative and its applications, the antiderivative, thedefinite integral, the fundamental theorem of calculus, properties ofthe integral, and area.Transfers to CSU, UNR, UC (course limit)PREREQUISITE: MAT 103B with a grade of “C” or better or equivalent orappropriate skills demonstrated through the math assessment process. MAT 104 witha grade of “C” or better or equivalent or appropriate skills demonstrated through themath assessment process.MAT 106 CALCULUS AND ANALYTIC GEOMETRY(PART II)Lecture 5, Lab 0, Units 5This course is a continuation of MAT 105. Applications of theintegral, techniques of integration, exponential and logarithmicfunctions, hyperbolic functions, and inverse trigonometric functionswill be studied.Transfers to CSU, UNR, UC (course limit)PREREQUISITE: MAT 105 with a grade of “C” or better or equivalent.MAT 107 CALCULUS AND ANALYTIC GEOMETRY(PART III)Lecture 5, Lab 0, Units 5This course is a continuation of MAT 106. It focuses on sequences andseries, Taylor polynomials, polar coordinates, and differentiation andintegration of multivariate functions.Transfers to CSU, UNR, UC (course limit)PREREQUISITE: MAT 106 with a grade of “C” or better or equivalent.MAT 109 MATHEMATICS FOR ELEMENTARYEDUCATIONLecture 5, Lab 0, Units 5This course is designed for prospective elementary and middle schoolteachers. The course is an introduction to the discipline of mathematicspertaining to logical, quantitative, and spatial reasoning in theabstraction, modeling, and problem solving of real-world situations.The main topics in the course include the origins of mathematics,mathematical reasoning and problem solving strategies, theory of sets,integers and integral number theory, rational numbers and proportion,real numbers and decimal notation, and measurement. Throughoutthe course, students will experience the learning of mathematics in away that models how they can create an active learning environmentfor their future students.Transfers to CSU, UNR, UCPREREQUISITE: MAT 154A or 154AA with a grade of "C" or better or equivalentor appropriate skills demonstrated through the math assessment process.MAT 118 CALCULUS FOR BUSINESS ANDSOCIAL SCIENCESLecture 5, Lab 0, Units 5This is a calculus course for students who intend on majoring inbusiness or social science, or for students who have a general interest incalculus and its applications. Topics covered include functions, limits,differentiation, integration, and partial derivatives.Transfers to CSU, UC, UNRPREREQUISITE: MAT 154A or 154AA with a grade of “C” or better or equivalentor appropriate skills demonstrated through the math assessment processMAT 119 TOPICS IN APPLIED MATHEMATICSLecture .5, Lab 0, Units .5This course is a survey of applications of mathematics presentedby instructors associated with the annual California MathematicsCouncil Community College (CMC 3 ) Recreational MathematicsConference. Students will learn applications from statistics, geometry,algebra, calculus, and cultural mathematics.Transfers to CSU, UNRADVISORY: MAT 154A or 154AA or equivalent.MAT 131 SPECIAL TOPICSUnits 1-4This course is designed to meet the needs of students for studies inareas of special interest. Topics and credits will vary from quarter toquarter and will be included under this cover title published in theschedule of classes for the quarter in which the course will be offered.Transfers to CSUMAT 152A BASIC ALGEBRA (PART I)Lecture 4, Lab 0, Units 4This course is designed as an introduction to algebra. Topicscovered include the four basic operations with positive and negativenumbers and with polynomials, solving and graphing linear equations,an introduction to functions and sets, and properties of integralexponents.PREREQUISITE: MAT 187B with a grade of “C” or better or equivalent orappropriate skills demonstrated through the math assessment process.Mathematics