MATH1262 Survey of Calculus 2Fall 2012

Instructor:John Seppala

Contact: or 229-259-2072

Office Hrs:MW 100-200 andTR 330-500, 2069 Nevins Hall

Website:

Class:Section A – TR500-615, 2061 Nevins Hall

Textbook:Brief Applied Calculus, by Stewart and Clegg

Calculator:TI-83 or TI-84 graphingcalculator required

Description:A continuation of an informal study of calculus, including techniques of integration of functions of one or several variables, techniques of differentiation of functions of one variable, and sequences and series. Applications in business, economics, and finance will be emphasized.

Objectives:Upon successful completion of this course, students will be able

to: differentiate multivariate functions using various techniques,

integrate functions using various techniques, identify andgraph

functions and their antiderivatives, analyzefunctions, sequences, and series, and solveapplied problems.

Tests:I will give you four tests(worth 60% of the course grade). The tests are fair and reasonable. If you miss a test, you will get a zero. I don’t give make-up tests. If you cheat on a test, you will fail the course. The tests are tentatively scheduled for the following dates:

1 / 2 / 3 / 4
R 9/6 / R10/4 / R 11/1 / R 11/29

Homework:Homework (worth 20% of the course grade) will be assigned and submitted using the website

Attendance:I will give you an attendance grade (worth 20% of the course grade) based on the total number of absences you accumulate during the semester. There is no such thing as an “excused” absence. Late arrivals and early departures each count as ½ of an absence.

Number of Absences / 0–3 / 4 / 5 / 6 / 7 / 8+
Attendance Grade / 100 / 80 / 60 / 40 / 20 / 0

Grades:I will give you a course grade based on the following scale:

A = 90–100, B = 80–89.9, C = 70–79.9, D = 60–69.9, F = 0–59.9.

Day / Date / Section / Topic
T / Aug 14 / 5.1 / Cost, Area, and the Definite Integral
R / Aug 16 / App C / Approximate Integration
T / Aug 21 / 5.2 / The Fundamental Theorem of Calculus
R / Aug 23 / 5.3 / The Net Change Theorem and Average Value
T / Aug 28 / 5.4 / The Substitution Rule
R / Aug 30 / 5.5 / Integration by Parts
T / Sep 4 / Review
R / Sep 6 / Test #1
T / Sep 11 / 6.1 / Areas Between Curves
R / Sep 13 / 6.2 / Applications to Economics
T / Sep 18 / 6.3 / Applications to Biology
R / Sep 20 / 6.4 / Differential Equations
T / Sep 25 / 6.5 / Improper Integrals
R / Sep 27 / 6.6 / Probability
T / Oct 2 / Review
R / Oct 4 / Test #2
T / Oct 9 / 7.1 / Functions of Several Variables
R / Oct 11 / 7.2 / Partial Derivatives
T / Oct 16
R / Oct 18 / 7.3 / Maximum and Minimum Values
T / Oct 23 / 7.4 / Lagrange Multipliers
R / Oct 25 / App D / Double Integrals
T / Oct 30 / Review
R / Nov 1 / Test #3
T / Nov 6 / 10.1 / Geometric Series
R / Nov 8 / 10.2 / Taylor Polynomials
T / Nov 13 / 10.3 / Taylor Series
R / Nov 15 / 10.4 / Newton’s Method
T / Nov 20
R / Nov 22
T / Nov 27 / Review
R / Nov 29 / Test #4