NCC Summer M122, Harvard Calculus Syllabus

1. SyllabusNCCMath 122Summer Session II 2011<br />Title:Harvard Calculus I (4cr.)<br />Text:Calculus by Hughes-Hallett, 5th Edition, John Wiley & Sons, Inc.<br />Description:This course is an extension of Math 111 (Harvard Pre-Calculus). Math 122 introduces the concepts of differentiation and integration as well as applications with emphasis on the meaning of symbols used and interpretation of results.<br />Topics:<br />Programming the TI-83/84<br />Limits and Continuity<br />Difference Quotients<br />Newton’s Method<br />L’Hôpital’s Rule<br />Numerical and Analytical Derivatives<br />First and Second Derivative Tests<br />Rates of Change and Applications <br />Numerical and Analytical Anti-Derivatives<br />Accumulators and Applications <br />Area and Riemann Sums<br />Mathematical Modeling <br />Differential Equations<br />Fundamental Theorem of Calculus <br />U-Substitution <br />General Course Requirements:<br />100% attendance(1 day grace, if you miss 5 < t < 30 min of class = 1/4 day,if you miss 31 < t < 60 min = 1/2 day, if you miss t > 60 min = 1 day, 1 day = 5pts: participation exam grade) <br />15 homework sets(due next day, 3 hours outside of class per night including math center - see below) <br />5 cumulative exams(one each week) <br />Daily Class Requirements:TI-83/84, Text, Homework, Notebook, Pencil <br />Math Center Requirement:As part of this course, students should avail themselves of further study and/or educational assistance in the Mathematics Center (B130, B126). These activities and use of the resources provided are deemed an integral part of the course and will help the student master necessary knowledge and skills. Please make sure to make use of this resource!<br />Course Outline and AssignmentsWeek 1<br />Class Day Date Section Topic Homework 1 M 2011.0705 2.1 Measuring Speed mult52.2 Derivative at a Pointmult52 T 2011.0706 2.3 Derivative Function mult52.4 Interpretationsmult52.5 Second Derivativemult53 W 2011.0707 2.6Continuitymult5AppCNewton’s Method (prog)mult54 2011.0708 Test 1 (Chapter 2) <br />Course Outline and AssignmentsWeek 2<br />Class Day Date Section Topic Homework 5 M 2011.0711 3.1Polynomialsmult53.2Exponentialsmult53.3Product & Quotient mult56 T 2011.0712 3.4Chain Rule Imult53.5Trigonometric f(x)mult53.6Chain Rule IImult57 W2011.0713 3.7Implicit Functionsmult53.9Approximationsmult53.10Theoremsmult58 2011.0714 Test 2 (Chapter 3) <br />Course Outline and AssignmentsWeek 3<br />Class Day Date Section Topic Homework 9 M2011.0718 4.1f ’(x) and f ’’(x)mult54.2Optimization mult510 T 2011.0719 4.3Family of Curvesmult54.4Modelingmult511 W 2011.07204.6Related Ratesmult54.7L’Hôpital’s Rulemult512 2011.0721 Test 3 (Chapter 4) <br />Course Outline and AssignmentsWeek 4<br />Class Day Date Section Topic Homework 13 M 2011.0725 5.1Distance Traveledmult514 T 2011.07265.2Definite Integral (prog)mult515 W 2011.07276.1Anti-Derivatives (G, N)mult56.2Anti-Derivatives (A)mult516 2011.0728Test 4 (Chapter 5+6) <br />Course Outline and AssignmentsWeek 5<br />Class Day Date Section Topic Homework 17 M 2011.08016.3Differential Equations mult518 T 2011.08027.1U-Substitutionmult5 19 W 2011.080311.4Variable Separable DiffEqusmult511.5Applications of DiffEqusmult520 2011.0804Test 5 (Chapter 6+7) <br />© 2011 MNA Consulting <br />