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/cms
  • Office 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


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.


ANNOUNCEMENTS

Posting date Contents
Aug. 19 A PDF file viewer as a plug-in to the web browser is needed to view the course syllabus and homework solutions in PDF format. The most common one is Adobe Acrobat. If you don't have one, you can download for free (LINK).
Aug. 22 Problems 5.1: 2,10 in 1st assignment of HW 1 are removed. You are not required to do these two problems at this time.
Aug. 24 Starting from Aug 28 (Monday), a lecture note for each lecture will be posted on this webpage. I will try to post it at least one day before the class. The idea is to focus on listening to lectures instead of writing notes. Please bring to class your note print-outs.
Aug. 24 Starting from Aug 28 (Monday), homework will be assigned in each class, be collected in next class, and be handed out in next next class. This way, I can have a faster feedback on your learning, and you would not accumulate your one week's homework for the last minute.
Aug. 24 Please use the resources specified on this webpage to get help with lectures and homework.
Aug. 27 Section 1.6 (Limits Involving Infinity) has been postponed till before Section 4.3 and 4.4 (Curve Sketching). Please see the updated Syllabus.
Aug. 29 I graded all the problems in HW 1, but only the circled grades were counted and recorded.
Sep. 8 The 1st exam will be on Sep. 15 (Friday) in class. It is a 50-minute closed-book exam covering lectured contents till (including) Sep. 13 (Wednesday). Please prepare and get help from me or TAs.
Sep. 12 Because of the conflict with the Math Department Colloquium, Sep. 13 (Wednesday)'s office hours will be posponed to Sep. 14 (Thursday). The time will be from 1:00pm to 3:00pm.
Sep. 12 We will have a recitation on Sep. 13 (Wednesday) for Sep. 15 (Friday)'s exam.
Sep. 12 There will be a pizza party for students and faculty of Calculus I and higher classes at 4:00pm on Sep. 21 (Thursday) at the patio on the south side of Clements Hall. Soft drinks will be provided.
Sep. 25 Because of the conflict with the Math Department Colloquium, Sep. 27 (Wednesday)'s office hours will be posponed to Sep. 28 (Thursday). The time will be from 3:00pm to 5:00pm.
Oct. 2 Because of the conflict with the Math Department Colloquium, Oct. 4 (Wednesday)'s office hours will be posponed to Oct. 5 (Thursday). The time will be from 3:00pm to 5:00pm.
Oct. 2 The 2st exam will be on Oct. 13 (Friday) in class. It is a 50-minute closed-book exam covering lectured contents till (including) Oct. 11 (Wednesday). You will be allowed to bring one page notes of letter size prepared by yourself. Please prepare and get help from me or TAs.
Oct. 30 Because of the conflict with the Math Department Colloquium, Nov. 1 (Wednesday)'s office hours will be posponed to Nov. 2 (Thursday). The time will be from 3:00pm to 5:00pm.
Oct. 30 Because of the conflict with the Math Department Colloquium, Nov. 8 (Wednesday)'s office hours will be posponed to Nov. 9 (Thursday). The time will be from 3:00pm to 5:00pm.
Oct. 31 The 3rd exam will be on Nov. 10 (Friday) in class. It is a 50-minute closed-book exam covering lectured contents till (including) Nov. 8 (Wednesday). You will be allowed to bring one page notes of letter size prepared by yourself. Please prepare and get help from me or TAs.
Nov. 16 Because of the APS-DFD (American Physics Society, Division of Fluid Dynamics) conference, there will be no class on Nov. 20 (Monday). Please print out and read that day's lecture note, and then do homework 26. The due date of homework 25 and 26 is on Nov. 27 (Monday), after the Thanksgiving holidays.
Nov. 16 In the week after the Thanksgiving holidays, the Friday's class will be advanced to Thursday. Course review for the final and the teaching evaluation will be given in that week. The weight of the final in the total score is 30%. It is therefore very important to get prepared. The schedule of the final can be found in the course syllabus (LINK).
Nov. 30 The schedule of the final can be found in the course syllabus (LINK). You will be allowed to bring one page notes of letter size prepared by yourself. The weight of the final in the total score is 30%. It is therefore very important to get prepared. Good luck!


REQUIREMENTS
  • General
    • Read and understand sections with attention to exact meanings of terms
    • Sketch diagrams or make calculations when reading and understanding
    • Try solving problems yourself first
    • Think logically and write solutions in a connected, step-by-step fashion with explanatory sentences
  • Homework
    • Understanding and practice is essential to the success of the course. Please do homework by yourself.
    • Homework is assinged, collected, and distributed in class. The dates to assign and collect homework are given in class and also posted on this webpage (LINK). No late homework is accepted.
  • Exams
    • Please take exams on time. Exceptions are only made under acceptable reasons with documentation and at the instructor's discretion in advance.
    • Exames are closed-book. No books, notes, and formula sheets are allowed in exams.
  • Others
    • Important Dates:
      • Aug 23 (Wed): last day to enroll, add courses or drop courses without grade record or tuition billing
      • Sep 1 (Fri): last day to declare pass/fail, no credit or first-year repeated course grading options, last day to request excused absence for observance of a religious holiday
      • Nov 1 (Wed): last day to drop a course
    • Honor Code: Please review the Honor Code documented in the SMU Undergraduate Bulletin. The highest level of academic honesty and integrity will be expected.
    • Disability Accommodations: Students needing academic accommodations for a disability must first contact Ms. Rebecca Marin, Coordinator, Services for Students with Disabilities (214-768-4557) to verify the disability and establish eligibility for accommodations. They should then schedule an appointment with their instructors to make appropriate arrangements. (See University Policy No. 2.4.)
    • Religious Observance: Religiously observant students wishing to be absent on holidays that require missing class should notify their instructors in writing at the beginning of the semester, and should discuss with them, in advance, acceptable ways of making up any work missed because of the absence. (See University Policy No. 1.9.)
    • Excused Absences for University Extracurricular Activities: Students participating in an officially sanctioned, scheduled University extracurricular activity should be given the opportunity to make up class assignments or other graded assignments missed as a result of their participation. It is the responsibility of the students to make arrangements with their instructors prior to any missed scheduled examination or other missed assignment for making up the work. (University Undergraduate Catalogue)


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)


LECTURE NOTES

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)


HOMEWORK


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