MATH 105

CALCULUS and ANALYTIC GEOMETRY

Monday, Wednesday, Friday 9:00 to 10:40 AM

Room E 106      5 UNITS

Instructor Larry Green

Phone Number Office: 541-4660 Extension 341

e-mail:  DrLarryGreen@gmail.com

Web Page: http://www.ltcconline.net/greenl/courses/105/105.htm
Videos:  http://www.ltcconline.net/greenl/courses/105/videos/VideoIndex.htm

Required Text Calculus Tenth Edition by Larson Hostetler and Edwards

Course description The topics covered in this course include elements of analytic geometry, limit theory, continuity of the derivative and its applications, the antiderivative, the definite integral, the fundamental theorem of calculus, properties of the integral and area.

Student Learning Outcomes

  1. Differentiate functions of a single variable using the basic rules of differentiation.
  2. Apply the derivative to describe phenomena arising from real-life situations.
  3. Sketch and analyze graphs using the first and second derivatives.
  4. Prove corollaries and derive equations using the theorems that relate to differential calculus.
  5. Determine limits and continuity using graphical, analytical, and tabular techniques.

Prerequisite A grade of C or better in Math 104 (Trigonometry) and Math 103B (College Algebra) or equivalent or appropriate skills demonstrated through the math assessment process


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: ..............................................150 points

Exam 1: Oct. 12 .......................................150 points

Exam 2: Nov 11.......................................150 points

Exam 3: Dec 4 .........................................150 points 

Final Exam: Dec 11, 10:00 to 11:50 AM ....400 points


Exam Policy Students are to bring calculators, pencils or pens, and paper to each 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.  Without a proven medical excuse, a 10% per day penalty will be given for each day the exam is taken late.  If all homework assignments are turned in for the quarter, and no more than three assignments are completed with a grade of 5 or less, then the regular exam with the lowest score will be dropped.

Homework Policy  Homework is due either at the end of class or by 4:00 PM in my office.  The use of computers or calculators is strongly recommended. Also, feel free to consult a fellow classmate, a tutor, your instructor, or anyone else for assistance on the homework.   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. For the True/False exercises, you must provide your reasoning even if it is true.

Daily Quizzes  The first five minutes or so of each class, there will be a quiz that covers the main point from the previous  lecture.  Each quiz will count as 20% of the homework grade.  Quizzes cannot be made up.  No points will be awarded on a quiz if the corresponding homework assignment is not turned in on time.

Learning Disabilities If you have a learning disability, be sure to discuss it with Larry. Learning disabilities will be accommodated.

Tutoring:  Tutors are available at no cost in A201 (The Math Success Center).  

A Word on Honesty:  Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us.  If you cheat on a quiz or exam you will receive an F  for the course, not merely for the test.  Other college disciplinary action including expulsion might occur. Please don't cheat in this class.  If you are having difficulty with the course, please see me.



OFFICE HOURS:

Monday  .............................  12:40 to 1:40 PM           A 210

Tuesday  .............................  9:00 to 10:00 PM           A 210 

Wednesday .....................      12:40 to 1:40 PM           A 210

Thursday ........................      12:00 to 1:00  PM           A 210

Friday  .............................     12:40 to 1:40 PM            A210



CALCULATORS and SOFTWARE: The Texas Instruments 89 calculator is required for this course.  There will be exam questions that cannot be accomplished without the TI 89 calculator.  The calculator can be rented from the library.



HOMEWORK ASSIGNMENTS

Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment.  For all "True or False" exercises, an answer of "True" must also be accompanied by an explanation.

Date      Topic             Section                    Exercises

9-21 Introductions

9-23 Calc Preview 1.1 1, 4, 5, 7, 9
        Limits (Geom) 1.2 2,11,15-22,23,26,28,31,53,63,67,68,69,70

9-25  e-d 1.2 29,32,35,38,40,41,44,47,65,76


9-28 Limits (Alg) 1.3 1,8,19,34,37,44,46,53,58,60,67,72,85,94,104,115,116,118,120

9-30 Continuity 1.4 1,10,17,27,30,33,37,43,56,63,67,71,84,93,99,104,111

10-2 Inf Limits 1.5 1,6,11,23,32,41,48,55,58,61,63,67,68,69,73


10-5  Derivatives 2.1  1,6,9,12,18,21,24,29,36,39,40,41,42,45,48,61,76,84,93,94,95,96

10-7  Der Rules 2.2 3,8,13,18,23,28,33,38,43,52,57,62,65,76,78,87,88,89,91,100,101,112

10-9 X, / Rules 2.3 5,12,17,20,33,35,44,59,64,71,78,81,88,92,95,108, 113,116,129,131,132,133,134


10-12  Exam I

10-14 Chain Rule 2.4 1,8,13,18,24,29,40,43,48,53,60,65,70

10-16 Chain Rule 2.4 73,78,83,88,93,97,100,101,104,111,118,125,126


10-19 Implicit Diff 2.5 1,4,7,10,16,19,22,28,31,34,40,43,46,49,55,58,61,64,67,71,74,SP

10-21 Related Rates 2.6 1,4,8,11,14,17,22,25,27,30,31,35,37,39,42,43,44

10-23 Extrema 3.1 1,6,10,13,16,19,22,25,29,36,39,44,60,61,62,63,64,65,66


10-26 Rolle's Thm and MVT 3.2 1,6,10,13,16,21,27,29,31,34,37,40,43,48,53,60,65,73,74,75

10-28  1st Der Test 3.3 6,11,16,21,26,31,36,41,50,55,58,59,60,69,79,82,85,91,92,SP

10-30  2nd Der Test 3.4 1,8,15,22,29,36,43,46,51,54,58,63,75,76,77,78


11-2  Asymptotes 3.5 1,6,11,16,21,26,30,35,40,45,50,61,68,86,87,99,103,104

11-4   Curve Sketching 3.6 1,4,7,14,21,30,37,49,52,57

11-6  Optimization 3.7 3,12,17,21,26,33,39,40,41,43,45,49,52,SP


11-9   Happy Veteran's Day

11-11   Exam II

11-13  Newton's Method 3.8 1,4,7,10,13,16,19,22,25,30,33,35,36,37


11-16   Differentials 3.9 1,4,7,10,13,16,22,25,28,31,34,37,41,47,48,49,50

11-18 Antiderivatives 4.1 1,6,15,22,29,36,55,60,66,69,70,71,72,73,74

11-20 Area 4.2 1,6,11,16,19,21,26,30,33,39,44,47,50,53,59,62,71,72


11-23  Riemann Sums 4.3 1,6,11,16,21,26,31,39,44,48,57,63,64,69

11-25  Fund Thm Calc 4.4  1,4,9,14,19,24,29,32,37,42,47,52,61,62,67,73,80,81,86,87,92,97,106,109,111,112

11-27   Happy Thanksgiving


11-30 Substitution 4.5 10,19,28,37,46,54,61,68,71,84,91

12-2   Approximation 4.6 1,6,11,16,24,29,36,39,44

12-4  Exam III


12-9 Comprehensive Final Exam 10:00 AM - 11:50 AM



HOW TO SUCCEED IN A MATH CLASS

  • Come to every class meeting.
  • 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.
  • Read each section before it is discussed in class.
  • Do some math every day.
  • Start preparing for the tests at least a week in advance.
  • Spend about half of your study time working with your classmates.
  • Take advantage of tutors and office hours, extra help can make a big difference.


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