Syllabus
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This document outlines the course plan for a Calculus II class. The course will cover indefinite and definite integrals, transcendental functions, integration techniques, improper integrals, and applications of integrals. It will introduce students to concepts like anti-derivatives, Riemann sums, and the Fundamental Theorems of Calculus. Over 15 weeks, students will learn these topics through lessons, examples, and practice problems. The course aims to help freshmen understand basic calculus concepts, especially those built upon Calculus I. Assessment will include exams, quizzes, homework, and projects involving area, volume, and center of mass calculations.
Syllabus
- 1. GBPP (Garis-garis Besar Pedoman Pembelajaran) Subject/Code/Course : Calculus II/PMT 203/3 Course Subjects Description : This subject learns about indefinite integral, definite integral, transcendent function, integration techniques, improper integral, and application of integral. Purpose : After learning this subject, the freshmen will understand about the basic concepts of calculus, especially for the function of calculus one variable No 1 1 2 3 4 5 General Competence Main Topic/Submain Topic 2 3 The students understand the I. Anti Derivative concept of indefinite integral as Concept of anti derivative an anti derivative Concept of indefinite integral The students understand the The formulas of indefinite formula of indefinite integral integral The students understand the II. Definite Integral definite integral concept as a 1. Math Induction Principle Riemann limit number 2. Definite integral as Riemann limit number The students understand the 3. Basic calculus first theorem basic calculus theorem and can 4. Basic calculus second use it in every technical counting theorem 5. The characteristics of definite integral further The students understand the III. Transcendent Function logarithm concepts and exponent Logarithm function and with any properties and the transcendent function Time Estimate Literary 4 3 x 50 minutes 5 1 3 x 50 minutes 1, 2, 3 3 x 50 minutes 1, 2, 3 3 x 50 minutes 1, 2, 3 3 x 50 minutes 1, 2, 3
- 2. graphics function The students understand the Hiperbolic function and invers hyperbolic function concepts with any properties and the graph function The students understand the IV. Integration techniques 7 integration techniques for any 1. Partial Integral calculation 2. Integral Trigonometric Functions 3. Integral by Replacing Trigonometric Functions The students understand the V. Indefinite Form and Improper 8 indefinite form and improper Integral integral for calculation 1. Indefinite Form 2. Improper Integral The students understand the V. The Using of Definite Integral 9 using of integral in a big scope 1. The area 2. Volume 3. Center of Mass Bibliography: 6 3 x 50 minutes 1, 2, 3 12 x 50 minutes 1, 2, 3 9 x 50 minutes 1, 2, 3 12 x 50 minutes 1, 2, 3 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta 3. Wardiman, Hitung Integral, UGM, Jogyakarta Pekanbaru, 1 April 2008 Team