MATH1262 Survey of Calculus 2Spring 2013

Instructor:John Seppala

Contact: or 229-259-2072

Office Hrs:MW 450-520 andTR 150-320, 2069 Nevins Hall

Website:

Class:Section A – MW200-315, 2042 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 fouropen-book, open-notes 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
M2/4 / M3/4 / W4/3 / M4/29

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+
Attendance Grade / 100 / 90 / 70 / 40 / 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
M / Jan 7 / 0.0, P / Introduction and Review
W / Jan 9 / 5.1, C / The Definite Integral and Approximations
M / Jan 14 / 5.2 / The Fundamental Theorem of Calculus
W / Jan 16 / 5.3 / The Net Change Theorem and Average Value
M / Jan 21
W / Jan 23 / 5.4 / The Substitution Rule
M / Jan 28 / 5.5 / Integration by Parts
W / Jan 30 / Review
M / Feb 4 / Test #1
W / Feb 6 / TBD
M / Feb 11 / 6.1 / Areas Between Curves
W / Feb 13 / 6.2 / Applications to Economics
M / Feb 18 / 6.4 / Differential Equations
W / Feb 20 / 6.5 / Improper Integrals
M / Feb 25 / 6.6 / Probability
W / Feb 27 / Review
M / Mar 4 / Test #2
W / Mar 6 / 7.1 / Functions of Several Variables
M / Mar 11 / 7.2 / Partial Derivatives
W / Mar 13 / 7.3 / Maximum and Minimum Values
M / Mar 18
W / Mar 20
M / Mar 25 / 7.4 / Lagrange Multipliers
W / Mar 27 / App D / Double Integrals
M / Apr 1 / Review
W / Apr 3 / Test #3
M / Apr 8 / TBD
W / Apr 10 / 10.1 / Geometric Series
M / Apr 15 / 10.2 / Taylor Polynomials
W / Apr 17 / 10.3 / Taylor Series
M / Apr 22 / 10.4 / Newton’s Method
W / Apr 24 / Review
M / Apr 29 / Test #4