Laboratory Equipment 2. Analytic Trigonometry 2.1. The Eight Fundamental Identities 2.2. Proving Trigonometric Identities 2.3. Sum and Difference Identities 2.4. Double-measure and Half-measure Identities 2.5. Inverse Trigonometric Functions 2.6. Trigonometric Equations 2.7. Identities for the Product, Sum and Difference of Sine and Cosine 3. Applications of Trigonometry 3.1. The Law of Sines 3.2. The Law of Cosines None 1. Algebra and Trigonometry. (A Pre-Calculus Approach), 1983, Sobel, Max A. & Lerner, Norbert, Prentice-Hall, Inc. Englewood Cliffs, New Jersey Suggested Textbooks and Reference Materials Course Name: Course Description Number of Units for Prerequisite ANALYTIC GEOMETRY The course covers the study of plane surfaces and solid objects as expressed using algebraic equations. It is divided into two sub-courses namely: 1. Analytic Geometry which studies Coordinate systems; equations and their loci; straight lines, conic sections and higher plane curves; transformation of coordinates; algebraic curves; polar curves; transformation of coordinates in space; quadric surfaces. At the end of the course, the student must be able to: 1. Determine the volumes and surface areas of solid such as cylinders, Course Objectives 2. 4. Analyze and trace completely the curves given their equations in both rectangular and polar coordinates in two-dimensional space. Course Outline Laboratory Equipment Suggested Textbooks and Reference Materials 1. Plane Analytic Geometry 1.3. Point-of-Division Formulas 1.4. Inclination and Slope 1.5. Parallel and Perpendicular Lines 2. The Line 2.1. The Point-Slope and The Two-Point Forms 2.2. Slope-Intercept and Intercept Forms 2.3. Distance from a point to a line 3. The Circle 3.1. The Standard Form of an Equation of a Circle 3.2. Conditions that determine the equation of a circle 4. Conic Sections 4.1. Introduction - The General Form of a 2nd degree Equation 4.2. The Parabola 4.3. The Ellipse 4.4. The Hyperbola 5. Transformation of Coordinates 5.1. Translation of Conic Sections 6. Curve Sketching 6.1. Symmetry and Intercepts 6.2. Sketching Polynomial Equations 6.3. Asymptotes (except slant asymptotes) 6.4. Sketching Rational Functions 7. Polar Coordinates 7.1. Polar Coordinates 7.2. Graphs in Polar Coordinates 7.3. Relationship between Rectangular and Polar coordinates None 1. Analytic Geometry, Agalabia and Ymas 2. Analytic Geometry, Gordon Fuller 3. Analytic Geometry, Love and Rainville 4. Calculus with Analytic Geometry, Thurman Peterson, 1960,. Harper and Row 5. Introduction to Analytic Geometry and Calculus, Deauna and Lamayo, 1999, Sibs Publishing House, Inc. Philippines Course Name: Course Description Number of Units for Prerequisite Course Objectives Course Outline SOLID MENSURATION The course covers the study of plane surfaces and solid objects as expressed using algebraic equations. It is divided into two sub-courses namely: 2. Analytic Geometry which studies Coordinate systems; equations and their loci; straight lines, conic sections and higher plane curves; transformation of coordinates; algebraic curves; polar curves; transformation of coordinates in space; quadric surfaces. 3. Solid Geometry which covers the measurement of Plane figures, cubes, pallelipipeds; cylinders; prisms; pyramids; frustums of a pyramid, spheres; frustums of a cone Lecture 2 units Lecture - 2 hours' College Algebra and Plane Trigonometry At the end of the course, the student must be able to: 1 Determine the volumes and surface areas of solid such as cylinders, cubes, parallelepiped, spheres, pyramids, cones, frustum of pyramids 2 Set-up equations given enough properties of lines and conic 3 curves. Draw the graph of the given equation of lines and conic sections. 4 Analyze and trace completely the curves given their equations in both rectangular and polar coordinates in two-dimensional space. 1. Solid Geometry 1.1 Solid for which V = 1/3Bh 1.2 Pyramids 1.3 Similar figures 1.4 Cones 1.5 Frustum of A Regular Pyramid 1.6 Frustum of A Right Circular Cone Course Name: Course Description Number of Units for DIFFERENTIAL AND INTEGRAL CALCULUS The course is about the two major parts of Calculus, namely: 1. Differential Calculus which covers functions; limits and continuity; derivatives of algebraic functions; differentials; partial derivatives; indeterminate forms, applications 2. Integral Calculus which covers anti-derivatives; integration methods and techniques; definite integrals; multiple integrals; applications, infinite series. Lecture - 5 units Lecture - 5 hours At the end of the course, the student must be able to: 1. To have a working knowledge of the basic concepts of functions and limits Course Objectives 3. To apply the concept of differentiation in solving word problems involving optimization, related rates, and approximation 4. To analyze and trace transcendental curves 5. To solve the different types of differential equations Laboratory Equipment Suggested Textbooks and References Double integrals 11. Triple Integrals None 1. Applied Calculus, Coughlin, 1976, Boston, Allyn and Bacon. 2. Calculus 1: A Tutorial Manual. The Calculus with Analytic Geometry (Part 1), 1999, Baes, Gregorio et al.. Learning Resource Center. University of the Philippines, Diliman, Q.C. 3. Calculus with Analytic Geometry. Thurman Peterson, 1960. Harper and Row 4. Calculus with Applications. 6th edition Lial, Greenwell and Miller. 1998. Addison-Wesley. Mass. USA 5. Differential and Integral Calculus. 6th edition, Love & Rainville. The Macmillan Company, New York. 6. Introduction to Analytic Geometry and Calculus Deauna and Lamayo.. 1999. Sibs Publishing House, Inc. Philippines 7. Introduction to Calculus, Mapa et al. 1984, National Book Store, Philippines 8. Other local and foreign textbooks. 9. Approved Internet sources.. |