APSC 171 - S900 (J Section) | Calculus I

The description of the course given in the curriculum manual states:

Parametric curves in two and three dimensions, velocity, acceleration, derivatives of trigonometric and inverse trigonometric functions, differentiation techniques, applications to science, linear approximation, integration and anti-differentiation, method of substitution, applications of integration to area, volume and work, integration by parts, partial fractions, approximations of integrals, improper integrals, exponential growth, harmonic motion, and separable differential equations.

The emphasis in this version of the APSC 171 course will be on understanding ideas rather than speeding through the material. As the course only takes 5 weeks, we will inevitably have some sections which receive less attention than others. The mandatory assignments will help fill in some of this gap.

Course Reference Materials

Textbook Calculus (Early Transcendentals), Stewart 7E. Available at Campus Bookstore ($159.29 new)
(This is the textbook for APSC 172J as well, and you must own it! Any problems / assignments will reference the numbering scheme of the 7E version of the textbook, and you must be able to find the proper questions.)

Additional Materials

Syllabus The syllabus for the course.                                                          
Announcements
  • Solutions to Assignment 6, Quiz 2, and the three old exams have been posted. -wburr. Fri, Feb 15, 11:55pm.
  • Solutions to Assignment 4 have been posted. -wburr. Tues, Feb 12, 10:12am.
  • Solutions to Assignment 2 have been posted. Solutions for Assignments 3 and 4 will be posted on Monday. -wburr. Thu, Feb 7, 6:08pm
  • Quiz #1 and its solutions have been posted. -wburr. Wed, Jan 30, 6:19pm
  • Due date for Assignment 3 moved to Monday, Feb 4. -wburr. Wed, Jan 30, 4:30pm
  • The syllabus has been updated to reflect the scheduled exam times, and to detail the grade breakdown for those students who are only writing the exam (i.e., not registered in APSC 171 Section 900). -wburr. Mon, Jan 21, 1:31pm.
  • The tutorial time has been moved to Wednesday, 9:30am in Ellis 324. Sorry for the late notice - just found out! -wburr. Mon, Jan 14, 4:33pm.

Lectures

Derivatives and their Applications Practice Problems
Jan 14 Administrative details. Power Rule, Exponentials. (S1.1, 1.5, 2.7, 3.1) Q. 2.8#3; 3.1#3,5,7,9,11.
16 Exponentials and Trig Functions. The Product, Quotient and Chain Rules. Logarithms.
(S3.2, 3.3, 3.4, 3.6)		 Q. 3.2#1,5,11,13. 3.3#3,13,17. 3.4#3, 11, 17. 3.6 #5,7,17.
17 Implicit Differentiation. Related Rates. (S3.5, 3.9) Q. 3.5#7, 11, 19. 3.9#3, 5, 23.
21 More Implicit. Liebniz Integral Rule. Min/Max. (S5.3, 4.1, 4.3) Q. 5.3#7,9,13,17. 4.1#29,39,49,55.
23 1st Derivative Test. Optimization. (S4.7)  Algorithm Q. 4.3#9,15,17 (a,b only). 4.7#7,15,33,35.
24 2nd Derivative Test. Limits and L'Hopital. (S4.3, 4.4) Q. 4.3#19,21. 4.4#25,29,33
Integration
Jan 28 Antiderivatives. The Indefinite Integral. Substitution. (S4.9, 5.4, 5.5) Q. 4.9#25,31,33,41,47. 5.4#5,7,9,11,19. 5.5#13,17,21,23.
30 Definite Integral definition. Integration by Parts. (S5.2, 5.3, 7.1) Q. 5.2#21, 23, 25. 5.3#30, 33, 35. 7.1#9, 15, 17, 27, 33.
31 Integration as Area. Definite integrals. Improper Integrals. (S5.1, 5.2, 5.3, 7.8) Q. 5.2#35, 37, 39. 5.3#37, 39, 41. 7.1#23,27,35. 7.8#25,27.
Feb 4 Volume integrals by cylindrical shells. (S6.2,6.3) Q. 6.3#9,11,13,15,17,19
6 Volume integrals by slicing. Work. (S6.2,6.4) Q. 6.2#1,3,5,7,9. 6.4#19,21,22,23,24.
7 Work: Four Examples. (S6.4) Q. 6.4#20. 6 Review#29.
Vectors and Differential Equations
Feb 11 Vectors, Tangent Lines, Parametrizations. (S10.1, 10.2) Q. 10.1#11,12,19,21. 10.2#9,17,19,29.
13 More vectors. Introduction to Differential Equations. (S10.2, 9.1) Q. 10.2#10,18,20. 9.1#9, 14.
14 More Differential Equations. (S9.3) 9.3#11, 13, 38.
20 Final Exam: 1:00pm
2011 Final Exam (for practice: Solutions)
2010 Final Exam (for practice: Solutions)
2009 Final Exam (for practice: Solutions)