MATH 107

CALCULUS and ANALYTIC GEOMETRY

Mon., Tues., Wed., and Thurs. 8:00 to 9:05 AM

Room E 106

5 UNITS

Instructor Larry Green

Phone Number 541-4660 Extension 341

Email:  greenl@ltcc.edu

Required Text Calculus fifth edition,

by Larson, Hostetler, and Edwards

Recommended Text Study and Solution Guide for Calculus fifth edition by Heyd

(A copy of this guild will be on reserve in the library.)

Course description The topics covered in this course include Taylor Polynomials,Series, Polar Coordinates, and

Differentiation and Integration of Multivariate Functions.

Prerequisite A grade of C or better in Math 106 or an equivalent class,

Grading Policy Your letter grade will be based on your percentage of possible points.

A 90 -- 100% C 70 -- 79%

B 80 -- 89% D 60 -- 69%

Homework: ..........................................175 points

Midterm 1: April 28 7.7,7.8,Ch. 8 ......175 points

Midterm 2: May 15 Ch. 10,11 ..............175 points

Midterm 3: June 5 Ch. 12, 13.1-13.5.....175 points

Final Exam: June 23, 9:00 to 11:00 AM..300 points

Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam. A one page (standard size) front and back formula sheet may be used during each midterm, and a two page formula sheet may be used during the final exam. Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail.

Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled. If a student misses a Midterm exam, then the final exam will be weighted 47.5 percent of the total grade provided the student completes a (very long) make up assignment that will be given upon the students return.

Homework Policy Homework will be turned in at the end of class on the date due. If a student has additional questions, that student may see me after class in my office and then turn in the homework by 5:00 PM on the date due. Homework that is turned in within one week of the due date will be counted as half credit. Homework may be turned later than one week after the due date, but points will not be awarded.

Extra Credit Any student who has turned in every homework assignment may elect to work on an extra credit assignment or project that will count as additional points towards either a midterm or the final.

Registration

1. You must register for this class at the Office of Admissions and Records.

2. You may drop the class with no penalty or mark on your record on or before

Friday, May 2.

3. After May 2, you may drop the class and receive a grade of W until

Friday, June 6.

4. After June 6, if you are enrolled, you will receive one of the following grades:

A, B, C, D, F or

I (Incomplete, must be negotiated with the instructor and is only allowed in special cases).

In this class, it is your responsibility to drop the class in order to avoid an unwanted grade. You must go to the registrar by the above dates to avoid the unwanted grade.

OFFICE HOURS:

Room A210

Monday, Tuesday, Wednesday, Thursday, and Friday ........... 11:00 to 12:00

CALCULATORS: A graphing calculator is required for this class.

There are a variety of such calculators on the

market. The instructor will be using a Texas Instrument 85 calculator for demonstrations in the class. All calculators except the TI 92 or equivalent will be allowed on the exams.

HOMEWORK ASSIGNMENTS AND EXAMS

Date Section Due Topic Problem Numbers

April 7 Introductions

April 8 7.7 L'Hopital's Rule 7,17,22,27,34,43,53,58,75,76,77

April 9 7.8 Improper Integrals 1,7,14,18,25,33,50,60,61,66,67,68

April 10 8.1 Sequences 1,12,18,25,38,57,78,85,89

8.2 Series & Convergence 1,9,18,23,48,64,70,85,86

April 14 8.3 Integral Test, p-Series 1,2,15,18,22,25,30,36,51

April 15 8.4 Comparison Test 1,8,13,24,37,42,44,47,48,49,50

April 16 8.5 Alternating Series 1,4,11,20,21,28,39,43,49,50,51,52,53,54

April 17 8.6 Ratio & Root Test 5,10,20,27,35,40,47,53,56

April 21 8.7 Taylor Polynomials 3,7,16,20,30,32,42,47

April 22 8.8 Power Series 1,6,10,17,22,35,38,39,47,48,49,50

April 23 8.9 Functions & Power Series 1,6,14,17,19,22,33,35,42

April 24 8.10 Taylor/McLauren Series 1,10,20,23,29,30,31,36,37,44,59

April 28 MIDTERM I

April 29 Return Midterm I

April 30 10.1 Parametric Equations 1,4,19,30,35,39,42,47,54,60,61,66,67,68,70

May 1 10.2 Calculus of Par. Eqs. 3,12,17,26,31,36,43,48,61,62,63,64

May 5 10.3 Polar Coord. & Graphs 12,22,37,40,47,61,69,85

10.4 Polar Area & Arc Length 1,9,18,28,41,57,58

Date Section Due Topic Problem Numbers

May 6 10.5 Conics & Kepler's Law 1,5,6,11,18,53,54,55,57

May 7 11.1 Planar Vectors 1,6,15,22,27,34,42,68,77,78,79,80,81,82

11.2 3D Vectors 1,5,10,12,25,30,33,38,45

May 8 11.3 The Dot Product 1,9,14,23,38,41,48,49,51,53,54

May 12 11.4  The Cross Product 1,6,9,18,23,32,35,38,39

May 13 11.5 Lines and Planes 1,4,11,16,21,26,31,38,49,66,76

May 14 11.6 Surfaces in Space 1,2,3,4,5,6,10,11,,20,25,28,43,55

11.7 Cylindrical & spherical Coordinates

1,10,16,21,32,36,59,60,61,62,63,64,65

May 15 MIDTERM II

May 19 Return Midterm II

May 20 12.1 Vector Functions 1,2,9,11,12,13,14,17,24,33,36,44,51,59,60

May 21 12.2 Calc. of Vector Funct. 1,4,7,14,21,26,27,33,40,43,53,54

May 22 12.3 Velocity & Acceleration 1,8,9,14,25,28,30,37,44

May 26 Memorial Day

May 27 12.4 Tangent & Normal Vectors 1,6,9,14,21,28,33,37,40

May 28 12.5 Arclength & Curvature 1,6,13,18,25,36,43,46,69

May 29 13.1 Multivariable Functions 13,27,28,29,30,45,5765,71

13.2 Limits & Continuity 6,8,27,30,32,45,46,47,48,49

June 2 13.3 Partial Derivatives 1,6,19,25,30,37,54,59,71,72,75,76,77,78

June 3 13.4 Differentials 1,8,11,16,19,23,26,29,30,31,32,37

June 4 13.5 Chain Rule 1,6,11,16,19,28,31,32,34,40,44,46

Date Section Due Topic Problem Numbers

June 5 MIDTERM III

June 9 Return Midterm III

June 10 13.6 Dir. Derivs. & Grads. 1,10,13,20,21,23,30,43,48,52,55,57,58

June 11 13.7 Tangent Planes & Normal Lines

1,10,14,15,22,25,34,41,51,53

June 12 13.8 Extrema 1,6,10,17,25,30,39,47,48,49,50

June 16 13.9 Applications of Extrema 1,9,11,18,22,25,31,34

June 17 13.10 Lagrange Multipliers 1,8,19,26,35,38

June 18 14.1 Iterated Integrals 1,8,15,24,28,35,38

June 19 14.2 Double Integrals & Volume 1,5,8,11,13,18,19,24

June 23 Comprehensive Final Exam Monday 9:00 to 11:00 AM

HOW TO SUCCEED IN A MATH CLASS

1) Come to every class meeting.

2) Arrive early, get yourself settled, spend a few minutes looking at your notes from the

previous class meeting, and have you materials ready when class starts.

3) Read each section before it is discussed in class

4) Do some math every day.

5) Start preparing for the tests at least a week in advance.

6) Spend about half of your study time working with your classmates.

7) Take advantage of tutors and office hours, extra help can make a big difference.