90 Math 1b Calculus, Series, and Differential Equations

Math 1b Calculus, Series, and Differential Equations Harvard University Fall 2005 http://my.harvard.edu/course/math1b Course Goals  Learn the techniques of calculus for analyzing functions  Learn how to model complex situations with mathematics  To read, write, and critique mathematical arguments Course Head  Dr Matthew Leingang leingang@math.harvard.edu (not leingang@fas) Science Center 323 Office Hours: Tues., Weds., 1–3pm Get to Know Indiana QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture Get to Know Indiana QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture Get to Know Indiana QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture Get to Know Indiana QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture Get to Know Indiana QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture Other teaching staff  Faculty members or Teaching Fellows in mathematics  Majority of instruction takes place in section, three hours/week  All sections cover same topics and have the same workload Sections  Choose your section by computer: MWF9, 10, 11, 12, ΤΘ10, 11:30 Breakdown of your course grade 20% Midterm I 25% Midterm II 35% Final 15% Homework 10% Technique Test 5% Pre-class Reading Assignments 100% Total Grading Scale  Could be adjusted 90% A 80% B 65% C 50% D for equity (“on the curve”)—up, but not down  Pluses and minuses will also be determined in final analysis Texts  Single Variable Calculus— Concepts and Contexts by James Stewart, ISBN 0-53441022-7  Available for purchase at the Coop QuickTime™ and a TIFF (Uncompressed) decompresso are needed to see this picture Texts  Schaum’s Outlines: Precalculus by Fred Safier, ISBN 0-07-057261-5  Optional  Cheap  Available for purchase at the Coop Prerequisites Logical Prerequisite: Calculus  Derivatives  Definition of the Integral  Fundamental Theorem of Calculus  (Integration by Substitution)  Math 1a or on HMPT2 QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture Logical Prerequisite: Precalculus  Functions  Graphs of “famous” functions and manipulating them  Trigonometry  Logarithms  20 on HMPT1 QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture For those who have taken AP Calculus BC  Math 1a and 1b together cover the Calculus BC syllabus  Math 1b does more than what’s on the BC, with different emphasis  You will still find lots to learn in Math 1b For those who have taken AP Calculus AB  Some of your classmates will have seen some of this material before  We are committed to supporting all qualified students Resources  Your section’s problem session  Math Question Center (Sunday– Thursday, 8–10pm, Loker Commons)  Your TF’s office hours  My office hours QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture Math Warm-Up Series  Brush-up on some precalculus topics (trig, logs, algebra)  Advice on study skills and course selection  http://www.math.harvard.edu/mwus/ Other Activities QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture  Online Placement Exam http://math.placement.fas.harvard.edu/ Other Activities QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture  Math Department advice is ongoing; see http://www.math.harvard.edu/sectioning First Assignments  Read Section 5.1 and 5.2 of the text  Select a section by computer  answer questions online (to appear later this week) Conclusion  I hope you take and enjoy Math 1b!  Web site reminder: http://my.harvard edu/course/math1 b  (Gratuitous baby shot) ... Learn how to model complex situations with mathematics  To read, write, and critique mathematical arguments Course Head  Dr Matthew Leingang leingang @math. harvard.edu (not leingang@fas) Science... QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture For those who have taken AP Calculus BC  Math 1a and 1b together cover the Calculus BC syllabus  Math 1b does... skills and course selection  http://www .math. harvard.edu/mwus/ Other Activities QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture  Online Placement Exam http:/ /math. placement.fas.harvard.edu/