Accelerated Calculus |
Math 1450H |
Fall 2014 |
L 212S, TuTh 2:30-4pm |
Instructor |
Bernhard Bodmann, Send Email |
Office |
Mo, We 1:30-2:30pm, 604 PGH, (ph) 713 743 3581 |
Textbook |
Calculus, Early Transcendentals (6th edition), by James Stewart (2008) ISBN 0-495-01166-5 (old edition, less expensive than current one, beware of non-identical books with similar titles!) |
Course website |
www.math.uh.edu/~bgb/Courses |
This is the first course of a two-semester sequence covering all major Calculus content. The main goals of this course are to
Your total score is composed of exam and quiz scores
3 x 200 pt. exams | 600 points |
10 x 30 pt. quizzes | 270 points (drop lowest score) |
Final exam | 330 points |
TOTAL |
1200 points |
Final grades will be based on the total of 1200 points. You are guaranteed a grade based on the standard scale, that is: A >=9O% > B >=8O% > C >= 7O% > D >= 6O% > F. However, I will adjust the scale downward in case the distribution of scores indicates that I should. Attendance is mandatory, so apart from dropping the lowest quiz score any missed quiz counts as zero. Documented medical or University of Houston excused absences will be permitted, in which case your score will be prorated accordingly.
Whenever possible, and in accordance with 504/ADA guidelines, we will attempt to provide reasonable academic accommodations to students who request and require them.
LIMITS AND CONTINUITY (2 lectures)
2.3 Calculating limits
2.4 The definition of a limit
2.5 Continuity
DERIVATIVES (6 lectures)
3.1 Derivatives of elementary functions
3.2 Product and quotient rules
3.3 Derivatives of trigonometric functions
3.4 The chain rule
3.5 Implicit differentiation
4.4 L'Hospital's rule
3.7 Derivatives of logarithmic functions
3.8 Exponential growth and decay
3.9 Related rates
APPLICATIONS OF DIFFERENTIATION (2 lectures)
4.1 Maximum and minimum values
4.2 The Mean Value Theorem
4.3 Derivatives and the graph of functions
4.7 Optimization problems
INTEGRALS (2 lectures)
5.1 Maximum and minimum values
5.2 The Mean Value Theorem
5.3 Derivatives and the graph of functions
5.4 Optimization problems
5.5 The substitution rule
TECHNIQUES OF INTEGRATION (4 lectures)
7.1 Integration by parts
7.2 Powers and products of trigonometric functions
7.3 Trigonometric substitutions
7.4 Partial fractions: linear factors
7.5 General strategies for integration
7.8 Improper integrals
APPLICATIONS OF INTEGRATION (3 lectures)
6.1 Areas between curves
6.2-6.3 Volumes by slices and solids of revolution
8.1 Arc length
8.2 Area of Surfaces of Revolution
INFINITE SEQUENCES and SERIES (5 lectures)
11.1 Sequences
11.2 Infinite Series: Fundamentals and the Geometric Series
11.3 The Integral Test
11.4 Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence, the Ratio and Root Tests
11.7 Strategy for testing series
POWER SERIES and TAYLOR EXPANSIONS (2 lectures)
11.8 Power Series and Their Regions of Convergence
11.9 Representation of Functions as Power Series, Calculus of Power Series
11.10 Taylor and MacLaurin Series, Uniqueness of Power Series