Syllabus, Sections 01-03, Spring 2004

## Mathematics 136 Syllabus

Note: If you intend to take higher level courses requiring CALC2,
do not take Math 136 or Math 138; take Math 152 instead.

All chapter numbers in the syllabus refer to the Rutgers University custom text Calculus, Special Edition, published by KendallHunt.

 Lecture Topic Sections Problems 1 Integration Review 5.3-5.5 5.3: 3,27  5.4: 7,15,17,45  5.5: 9,11,13,17,19,21,29,33,39 2 Numerical Integration 5.8 5.8: 3,7,11,13,19,21,29,38 3 Area between curves 6.1 6.1: 1,3,5,9,12,13,15,19,24,31 4 Volumes 6.2 6.2: 1,5,7,9,13,15,20,25,29,35,41,42,50,55 5 Volumes, Applications 6.2, 6.6 6.6: 5,9,15,17,21 6 Applications 6.6 6.6: 25,28,29,39,49,53,57 7 Integration by Parts; Integration Tables 7.1, 7.2 7.1: 3,4,11,13,15,17,27,31,42,45,49  7.2: 1,3,7,15,17,21,22,26,37,41 8 Trig. integrals, partial fractions 7.3, 7.4 7.3: 5,7,11,12,13,17,19,22,49,53,577.4: 1,2,5,7,11,15,17,23,27,29,51,53 9 Differential Equations Separable equations 5.6 5.6: 1,5,7,9,11,17,20, 21,23,25,27,29,45,47,57 10 Differential Equations First order 7.6 7.6: 1,5,11,23,24,25,35,40,43 11 Improper Integrals 7.7 7.7: 3,5,13,17,19,21,25,27,31,33,35,39,43,45 12 FIRST MIDTERM 13 Sequences 8.1 8.1: 5,9,13,17,23,25,31,43-46,48 14 Geometric Series 8.2 8.2: 3-8,15,16,23,25,33,39,41,43,47,51 15 Convergence tests 8.3,8.4 8.3: 3,4,5,7,9,13,15,19,21,29,31,39,43,45,55  8.4: 1,3,9,12,13,17,19,27,33,37,47,53 16 Ratio and root tests 8.5 8.5: 3,5,7,9,13,17,21,29,33,39,53 17 Absolute convergence Alternating series 8.6 8.6: 5,7,9,11,13,17,21,25,31,35,39,45 18 Power series 8.7 8.7: 1,5,9,11,13,17,21,25,31,35,39,43,49 19 Taylorpolynomials and series 8.8 8.8: 3,7,13,21,25,27,29,33,37,39,47,49,52 20 SECOND MIDTERM 22 Functions of several variables 11.1 11.1: 3,7,11,15,17,18,19,23-26 23 Partial Derivatives 11.3 11.3: 3,4,9,18,19,25,26,27,28,42-45,47 24 Maxima and Minima omit least squares 11.7 11.7: 3,5,8,11,12,14,16,17,23,26,41,43,52 25 Lagrange Multipliersskip gradient vectors 11.8 11.8: 1,5,9,11,12,13,15,18,19,25,26,28,30,31 26 Double Integrals 12.1 12.1: 3,5,9,11,14,15, 19,23,25,44 27 Double IntegralsOther regions 12.2 12.2: 3,4,6,7,9,11,13,14 28 Catch-up, review

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