# Rutgers Math 136 -- The standard syllabus

This page describes the generic syllabus for Math 136, Fall 2003. Different instructors may cover the material in different order. See the web page for your particular semester and course section.

Textbook for Summer 2003/Fall 2003: Soo T. Tan; Applied Calculus; Brooks/Cole (Fifth edition), 2002 (976 pp.);(ISBN# 0-534-37843-9)

The textbook starting in Spring 2004: Strauss, Bradley, Smith; Calculus; Prentice-Hall.

Syllabus based on Tan: This syllabus divides the material of Math 136 into 26 lectures, leaving two lectures free for in-class midterm exams. Problems using trigonometric functions (see Chapter 12) will be introduced in lectures.

 Lecture Topic Sections (Tan) 1 Integration review: Substitution, the Definite Integral 6.2, 6.3, 12.4 2 Fundamental Theorem of Calculus, Evaluation of Definite Integrals 6.4, 6.5 3 Applications of the Definite Integral, Areas by Definite Integrals 6.6, 6.7 4 Volumes of Solids by Definite Integrals 6.8 5 Integration by Parts; Integration Tables 7.1, 7.2 6 Numerical Integration; Improper Integrals 7.3, 7.4 7 Differential Equations, introduction 9.1 8 Differential Equations: Separation of Variables 9.2 9 Separable Differential Equations: Applications 9.3 10 Differential Equations: Approximate Solutions 9.4 11 Probability Distributions; Expected Value and Standard Deviation 10.1, 10.2 12 Normal Distributions 10.3 13 Taylor polynomials 11.1 14 Infinite Sequences and Infinite Series 11.2, 11.3 15 Infinite Series with positive terms 11.4 16 Power Series and Taylor Series 11.5 17 Power Series and Taylor Series 11.6 18 Newton Raphson Method 11.7 19 Functions of several Variables 8.1 20 Partial Derivatives 8.2 21 Maximizing or minimizing functions of several variables 8.3 22 The Least Squares Method of Curve-Fitting 8.4 23 Constrained Optimization by Lagrange Multipliers 8.5 24 Total Differentials 8.6 25 Double Integrals; Definition and calculuation 8.7 26 Double integrals; Applications 8.8