MATH1337, Calculus I

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 Instructor: Sheng Xu Phone: 214-768-2985 Office: 235 Clements Hall Email: sxu@smu.edu MATH 1337, Calculus I: Single-Variable Calculus Section 3: MWF 11-11:50am, DALL 152 Section 7: MWF 2-2:50pm, DALL 142

 RESOURCES Textbook Essential Calculus: Early Transcendentals, James Setward Blackboard http://www.smu.edu/cmsOffice Hours MWF 3-5:00pm Math TA Help Sessions Clements 126, M-F 4-7:00pm, Aug 22 (Tuesday) - Nov 30 (Thursday); On days when there is a departmental colloquium, Help Sessions will be 5-7:00pm (A notice will be posted on those days). Webpages Expanded text: http://www.stewartcalculus.com Altshuler Learning Enhancement Center: http://www.smu.edu/alec

 GRADINGPOLICY It is now the university policy that students be not allowed to do extra work to make up their grades. Your final score of this course will be calculated as:``` "16*(summation of your homework points)/(total homework points)+ 18*(your points in exam I)/(total points in exam I)+ 18*(your points in exam II)/(total points in exam II)+ 18*(your points in exam III)/(total points in exam III)+ 30*(your points in final exam)/(total points in final exam)" ``` Solutions to exams and homework will be posted on the course webpage. The way the exams and homework is graded is written in the solutions, which indicate how many points each critical solving step has. You are encouraged to compare your graded exams and homework with the posted solutions, which is a good way to review and learn. If you find any mistakes or inconsistency in grading, please let me know immediately, and I would be happy to make adjustments.

 SYLLABUS Downlowd the course syllabus in PDF format (PDF).

 Week Dates Sections Contents 1 Aug 18 2.1,5.1 History and overview 2 Aug 21,23,25 1.3,1.4 Limits 3 Aug 28,20,Sep 1 1.4,1.5 Continuity 4 Sep 6,8 2.2,2.3 Derivatives 5 Sep 11,13 2.4 Differentiation, Review I Sep 15 Test I 6 Sep 18,20,22 2.5,2.6 Chain Rule, Implicit differentiation 7 Sep 25,27,29 2.7,2.8,3.1,3.6 Rates, Linearization, Exponential functions 8 Oct 2,4,6 3.2,3.3,3.5 Derivatives of inverse functions, Derivatives logarithmic functions 9 Oct 11 Review II Oct 13 Test II 10 Oct 16,18,20 3.3,3.5,3.7 Derivatives of exponential functions and inverse trigonometric functions, L'Hospital Rule 11 Oct 23,25,27 3.7,4.1,4.2 Extreme Values, Mean Value Theorem 12 Oct 30,Nov 1,3 4.7.4.5,4.3 Antiderivatives, Optimization 13 Nov 6,8 1.6,4.4 Curve sketching, Review III Nov 10 Test III 14 Nov 13,15,17 5.2,5.3,5.5 Definite integral, Integral evaluation, Substitution Rule 15 Nov 20 5.4 Fundamental Theorem of Calculus 16 Nov 27,29,30 Review IV, V, VI Dec 5 (Tues) Final DALL 152, 11:30am-2:30pm, Sec 3 Class (MWF 11-11:50am) Dec 6 (Wed) Final DALL 142, 8:00am-11:00am, Sec 7 Class (MWF 2-2:50pm)

 Week Monday Wednesday Friday 1 Note_Aug18 2 Note_Aug21 Note_Aug23 Note_Aug25 3 Note_Aug28 Note_Aug30 Note_Sep01 4 Labor Day Note_Sep06 Note_Sep08 5 Note_Sep11 Review Exam_I 6 Note_Sep18 Note_Sep20 Note_Sep22 7 Note_Sep25 Note_Sep27 Note_Sep29 8 Note_Oct2 Note_Oct4 Note_Oct6 9 Fall break Review Exam_II 10 Note_Oct16 Note_Oct18 Note_Oct20 11 Note_Oct23 Note_Oct25 Note_Oct27 12 Note_Oct30 Note_Nov01 Note_Nov03 13 Note_Nov06 Review Exam_III 14 Note_Nov13 Note_Nov15 Note_Nov17 15 Note_Nov20 Thanksgiving Holiday Thanksgiving Holiday 16 Review Review Overview (Thursday, not Friday)

 No. Problems Due dates Solutions 1 2.1: 9,10; Optional problem: Zeno's paradox of the Tortoise and Achilles (OPEN); 1.3: 4,10,30,38,44; Write the precise definitions for one-sided limits; 1.4: 2,10,14,18,32,38,44,54 Aug 28 (Monday) Solution to HW 1 2 1.5: 4,6,12 Aug 30 (Wednesday) Solution to HW 2 3 1.5: 18,20,22,26,32 Sep 1 (Friday) Solution to HW 3 4 1.5: 38, 2.1: 12,19,25,30 Sep 8 (Friday) Solution to HW 4 5 2.2: 3,4,9,20,27 Sep 11 (Monday) Solution to HW 5 6 2.4: 3,5,11,15,16,19 Sep 13 (Wednesday) Solution to HW 6 7 Calculate derivatives of "cot(x)", "sec(x)", and "csc(x)" with detailed steps, 2.3: 65, 2.4: 43, 2.5: 1,2,5,6 Sep 20 (Wednesday) Solution to HW 7 8 2.5: 7,11,21,37,39,47 Sep 22 (Friday) Solution to HW 8 9 2.5: 51,66, 2.6 1,3,7,10,25 Sep 25 (Monday) Solution to HW 9 10 2.7: 1,3,5,12,25,31 Sep 27 (Wednesday) Solution to HW 10 11 2.8: 2,3,11,28 Sep 29 (Friday) Solution to HW 11 12 3.1: 1,2,15(b),16(b),18,23,24,3.6: 1,7,8 Oct 2 (Monday) Solution to HW 12 13 3.2: 21,22,46,47,(optional: 18,78) Oct 6 (Friday) Solution to HW 13 14 3.2: 32,41, 3.3: 4,7, (optional: 3.3: 41,44) Oct 11 (Wednesday) Solution to HW 14 15 Prove: (ln|x|)'=1/x, 3.3: 23,47,54 (optional: 3.3: 56,68) Oct 18 (Wednesday) Solution to HW 15 16 3.5: 17,18,23,39 (optional: 32,36) Oct 20 (Friday) Solution to HW 16 17 3.7: 3,7,11,15 (optional: 39,40) Oct 23 (Monday) Solution to HW 17 18 3.7: 21,27,35,47 (optional: 46,50) Oct 25 (Wednesday) Solution to HW 18 19 4.1: 3,7,19 Oct 27 (Friday) Solution to HW 19 20 4.1: 47,48, 4.2: 11,17 (optional: 4.1: 56, 4.2: 21(a)) Oct 30 (Monday) Solution to HW 20 21 4.7: 9,10,21,24 (optional: 30,32) Nov 3 (Friday) Solution to HW 21 22 4.3: 5(a),5(b),8(a),8(b) Nov 6 (Monday) Solution to HW 22 23 4.3: 1,12, (optional: 50) Nov 8 (Wednesday) Solution to HW 23 24 5.2: 30,41, (optional: 45), 5.3: 27,42, (optional: 46) Nov 17 (Friday) Solution to HW 24 25 5.5: 5,6,10,29 (optional: 55,62) Nov 27 (Monday) Solution to HW 25 26 5.4: 8,10,13,19(a,b) Nov 27 (Monday) Solution to HW 26 27 (optional) 5.4: 12,14, 5.5: 37,41,45,49 N/A Solution to HW 27 Exam I N/A Solution to Exam I Exam II N/A Solution to Exam II Exam III N/A Solution to Exam III Final: Section 03 N/A Solution to Final of Section 03, Part I: T T F F T T F T T F Final: Section 07 N/A Solution to Final of Section 07, Part I: F F T F F F T F T T