MATH 147 - CALCULUS III, Spring 2003
Section 01: 8:00-8:50, MWRF, STV 211
Instructor: Lucian M. IonescuOffice: 303G, (309) 8-7167,
Office Hours: 10:00-11:00 am, 2:00-3:00 pm MWF, or by appointment at other times.
Text: Calculus – Concepts and Contexts by James Stewart, 2001; scope: most of chapters 9-13.
Content: Mathematical models for more complex systems require studying simultaneously “several functions”: vector valued functions (Ch.9, 10). We will adapt the ideas from calculus I to study quantities determined by several others: partial differentiation (Ch.11), and integration (Ch.12). The relation between the two (“The Fundamental Theorem of Calculus”), has here several instances (Green Theorem, etc.). The intrinsic point of view of vector calculus is adopted (Ch.13).
Calculator: Graphics calculator required. TI-89 or 92 recommended. Other calculators are acceptable, but in class demonstrations will be with the TI-89.
Prerequisites: C or better in MATH 146 or equivalent (Calculus II), solid algebra skills, and diligent attention to homework.
Objectives: The general goals of the course are 1) focus on applications of calculus, 2) problem solving, 3) conceptual understanding of the central ideas of calculus, 4) appropriate use of computer technology, 5) communication of ideas in written and oral form.
Course Format: You are responsible for reading assignments, and this is not a trivial task. Reading assignments are to be completed before the next scheduled meeting of the class. During the class, we will focus understanding the concepts and methods involved. After the class, write an outline of the corresponding section, before attempting the homework. Attempt all the homework problems before the next class period, when you should turn in the outline for one point per submission (“class participation”). Before discussing the new assigned material, we will discuss your difficulties when solving the homework problems.
Attendance and active participation are expected.
Homework: There will be daily homework assignments. Homework will be collected on Wednesdays. Please show all the work (a list of answers is not a homework assignment). Please staple the pages together.
Exams: Attendance at exams is mandatory. Contact me before the exam, if an emergency has arisen.
Evaluation: Grades will be based on the following distribution of points:
Homework (total number of points scaled to)100
Class activities (outlines + participation)100
In-class exams (3 one hour exams)300
Final exam200
Total 700 points.
The grading scale is A [90-100%], B [80-90%), C [60-80%), D [50,60%), F [0,50%).
N.B.: Students who believe they may need accommodations in this class/program are encouraged to contact the Disability Access Center as soon as possible to better ensure that such accommodations are implemented in a timely fashion.
“Warning: Plagiarism and cheating are serious offenses. Penalties can range from a minimum of a zero grade on the invalid instrument to expulsion from the University.”
Suggestions for Learning Mathematics
Make an outline: For each assigned section of the text, make an outline containing a description of the major concepts and procedures. Also write down a brief definition of all technical terms. Find a typical example of each concept; find a non-example. Sketch a picture representing the concepts, if appropriate. Show relationships between concepts. As you are making this outline, make a list of questions you want to ask your study partner or instructor.
Do the assignments: Work problems and do other tasks assigned. Ask yourself how the assigned problems are connected to other assignments.
Write a summary: After making an outline of a section and working the assigned problems in that section, take a few minutes to write a summary of the major concepts and procedures you learned.
Calculus III Homework Assignments
The “assigned section” will be covered on a specific “date”, and the “HW#” (the solutions to the problems for a whole week), is “due” on the following Wednesday.
HW#/Due / Date / Section covered / Problems assigned / HW#
/Due / Date / Section covered / Problems assigned
1 / M / 1/13 / Introduction / (TI-89/92 review) / 9 / M / 3/10
1/22 / W / 1/15 / 9.1 / 1-5,13,19,29 / W / 3/12 / Spring / No Classes
R / 1/16 / 9.2 / 1-5,7,11,15,17,32 / R / 3/13 / Break
F / 1/17 / 9.3 / 1-5,9,11,13,19,21,25,29 / F / 3/14
2 / M / 1/20 / M.L.King / Holiday: no classes / 10 / M / 3/17 / 12.1 / 1-3,5,9,11
1/29 / W / 1/22 / 9.4 / 1-4,7,10,17,21,23,34 / 3/26 / W / 3/19 / 12.2 / 1-3,11,17,21,29
R / 1/23 / 9.5 / 1,3,7,13,17,19,29,31,43,45 / R / 3/20 / 12.3 / 1,7,17,29,35,41,43
F / 1/24 / r&p / F / 3/21 / r&p
3 / M / 1/27 / 9.6 / 1-3,7,15,17,21 / 11 / M / 3/24 / 12.4 / 1-7,9,15,23,25
2/5 / W / 1/29 / 9.7 / 1-5,7,9,11,15,17,21 / 4/2 / W / 3/26 / 12.5 / 1,3,13,19
R / 1/30 / 10.1 / 1-5,11,19,29 / R / 3/27 / 12.6 / 1,13,19,24,26
F / 1/31 / r&p / F / 3/38 / r&p
4 / M / 2/3 / 10.2 / 1-3,9,15,19,23,29 / 12 / M / 3/31 / 12.7 / 1-3,7,15,25,37,45
2/12 / W / 2/5 / 10.3 / 1,7,11,15,33,35,45 / 4/9 / W / 4/2 / 12.8 / 1,7,15,25,29
R / 2/6 / 10.4 / 1,3,9,13,29,34 / R / 4/3 / 12.9 / 1,7,11,19
F / 2/7 / 10.5 / 1-4,11,17 / F / 4/4 / r&p / CC&T/F Quiz Ch.12
5 / M / 2/10 / r&p / CC&T/F Quiz Ch.9&10 / 13 / M / 4/7 / Review
2/12 / W / 2/12 / Review / 4/16 / W / 4/9 / Exam 3
R / 2/13 / Exam 1 / R / 4/10 / 13.1 / 1,3,11,15,25,29,33
F / 2/14 / 11.1 / 1-3,9,13,15,31,37,41 / F / 4/11 / r&p
6 / M / 2/17 / 11.2 / 1,3,9,25,33 / 14 / M / 4/14 / 13.2 / 1,11,13,15,20
2/26 / W / 2/19 / 11.3 / 1-4,6-8,11,13,35,43,51,54 / 4/23 / W / 4/16 / 13.2 / 25,29,30,31,37
R / 2/20 / 11.4 / 1,9,19,33 / R / 4/17 / 13.3 / 1-3,12,19,23
F / 2/21 / r&p / F / 4/18 / r&p
7 / M / 2/24 / 11.5 / 1-5,11,15,21,23,32,39 / 15 / M / 4/21 / 13.3 / 27,28,29,33
3/5 / W / 2/26 / 11.6 / 1,3,5,7,13,21,29,35 / 4/30 / W / 4/23 / 13.4 / 1,5,7,15
R / 2/27 / 11.7 / 1-3,5,23,31 / R / 4/24 / 13.4 / 17,19,27
F / 2/28 / 11.8 / 1,3,19,23,25 / F / 4/25 / r&p / CC&T/F Quiz Ch.13
8 / M / 3/3 / r&p / CC&T/F Quiz Ch.11 / 16 / M / 4/28 / Review / CC&T/F Quiz Ch. 9, 10
3/5 / W / 3/5 / Review / Next / W / 4/30 / Review / CC&T/F Quiz Ch.11
R / 3/6 / Exam 2 / class! / R / 5/1 / Review / CC&T/F Quiz Ch.12
WX!! / F / 3/7 / r&p / F / 5/2 / Review / Ch.13
Final Exam: Mon May 5, 7:50 am, Room: (same)
MATH 147 - CALCULUS III, Spring 2003
Section 02: 9:00-9:50, MWRF, STV 221B
Instructor: Lucian M. IonescuOffice: 303G, (309) 8-7167,
Office Hours: 10:00-11:00 am, 2:00-3:00 pm MWF, or by appointment at other times.
Text: Calculus – Concepts and Contexts by James Stewart, 2001; scope: most of chapters 9-13.
Content: Mathematical models for more complex systems require studying simultaneously “several functions”: vector valued functions (Ch.9, 10). We will adapt the ideas from calculus I to study quantities determined by several others: partial differentiation (Ch.11), and integration (Ch.12). The relation between the two (“The Fundamental Theorem of Calculus”), has here several instances (Green Theorem, etc.). The intrinsic point of view of vector calculus is adopted (Ch.13).
Calculator: Graphics calculator required. TI-89 or 92 recommended. Other calculators are acceptable, but in class demonstrations will be with the TI-89.
Prerequisites: C or better in MATH 146 or equivalent (Calculus II), solid algebra skills, and diligent attention to homework.
Objectives: The general goals of the course are 1) focus on applications of calculus, 2) problem solving, 3) conceptual understanding of the central ideas of calculus, 4) appropriate use of computer technology, 5) communication of ideas in written and oral form.
Course Format: You are responsible for reading assignments, and this is not a trivial task. Reading assignments are to be completed before the next scheduled meeting of the class. During the class, we will focus understanding the concepts and methods involved. After the class, write an outline of the corresponding section, before attempting the homework. Attempt all the homework problems before the next class period, when you should turn in the outline for one point per submission (“class participation”). Before discussing the new assigned material, we will discuss your difficulties when solving the homework problems.
Attendance and active participation are expected.
Homework: There will be daily homework assignments. Homework will be collected on Wednesdays. Please show all the work (a list of answers is not a homework assignment). Please staple the pages together.
Exams: Attendance at exams is mandatory. Contact me before the exam, if an emergency has arisen.
Evaluation: Grades will be based on the following distribution of points:
Homework (total number of points scaled to)100
Class activities (outlines + participation)100
In-class exams (3 one hour exams)300
Final exam200
Total 700 points.
The grading scale is A [90-100%], B [80-90%), C [60-80%), D [50,60%), F [0,50%).
N.B.: Students who believe they may need accommodations in this class/program are encouraged to contact the Disability Access Center as soon as possible to better ensure that such accommodations are implemented in a timely fashion.
“Warning: Plagiarism and cheating are serious offenses. Penalties can range from a minimum of a zero grade on the invalid instrument to expulsion from the University.”
Suggestions for Learning Mathematics
Make an outline: For each assigned section of the text, make an outline containing a description of the major concepts and procedures. Also write down a brief definition of all technical terms. Find a typical example of each concept; find a non-example. Sketch a picture representing the concepts, if appropriate. Show relationships between concepts. As you are making this outline, make a list of questions you want to ask your study partner or instructor.
Do the assignments: Work problems and do other tasks assigned. Ask yourself how the assigned problems are connected to other assignments.
Write a summary: After making an outline of a section and working the assigned problems in that section, take a few minutes to write a summary of the major concepts and procedures you learned.
Calculus III Homework Assignments
The “assigned section” will be covered on a specific “date”, and the “HW#” (the solutions to the problems for a whole week), is “due” on the following Wednesday.
HW#/Due / Date / Section covered / Problems assigned / HW#
/Due / Date / Section covered / Problems assigned
1 / M / 1/13 / Introduction / (TI-89/92 review) / 9 / M / 3/10
1/22 / W / 1/15 / 9.1 / 1-5,13,19,29 / 10/24 / W / 3/12 / Spring / No Classes
R / 1/16 / 9.2 / 1-5,7,11,15,17,32 / R / 3/13 / Break
F / 1/17 / 9.3 / 1-5,9,11,13,19,21,25,29 / F / 3/14
2 / M / 1/20 / M.L.King / Holiday: no classes / 10 / M / 3/17 / 12.1 / 1-3,5,9,11
1/29 / W / 1/22 / 9.4 / 1-4,7,10,17,21,23,34 / 10/31 / W / 3/19 / 12.2 / 1-3,11,17,21,29
R / 1/23 / 9.5 / 1,3,7,13,17,19,29,31,43,45 / R / 3/20 / 12.3 / 1,7,17,29,35,41,43
F / 1/24 / r&p / F / 3/21 / r&p
3 / M / 1/27 / 9.6 / 1-3,7,15,17,21 / 11 / M / 3/24 / 12.4 / 1-7,9,15,23,25
2/5 / W / 1/29 / 9.7 / 1-5,7,9,11,15,17,21 / 11/7 / W / 3/26 / 12.5 / 1,3,13,19
R / 1/30 / 10.1 / 1-5,11,19,29 / R / 3/27 / 12.6 / 1,13,19,24,26
F / 1/31 / r&p / F / 3/38 / r&p
4 / M / 2/3 / 10.2 / 1-3,9,15,19,23,29 / 12 / M / 3/31 / 12.7 / 1-3,7,15,25,37,45
2/12 / W / 2/5 / 10.3 / 1,7,11,15,33,35,45 / W / 4/2 / 12.8 / 1,7,15,25,29
R / 2/6 / 10.4 / 1,3,9,13,29,34 / R / 4/3 / 12.9 / 1,7,11,19
F / 2/7 / 10.5 / 1-4,11,17 / F / 4/4 / r&p / CC&T/F Quiz Ch.12
5 / M / 2/10 / r&p / CC&T/F Quiz Ch.9&10 / 13 / M / 4/7 / Review
2/12 / W / 2/12 / Review / 11/21 / W / 4/9 / Exam 3
R / 2/13 / Exam 1 / R / 4/10 / 13.1 / 1,3,11,15,25,29,33
F / 2/14 / 11.1 / 1-3,9,13,15,31,37,41 / F / 4/11 / r&p
6 / M / 2/17 / 11.2 / 1,3,9,25,33 / 14 / M / 4/14 / 13.2 / 1,11,13,15,20
2/26 / W / 2/19 / 11.3 / 1-4,6-8,11,13,35,43,51,54 / 11/28 / W / 4/16 / 13.2 / 25,29,30,31,37
R / 2/20 / 11.4 / 1,9,19,33 / R / 4/17 / 13.3 / 1-3,12,19,23
F / 2/21 / r&p / F / 4/18 / r&p
7 / M / 2/24 / 11.5 / 1-5,11,15,21,23,32,39 / 15 / M / 4/21 / 13.3 / 27,28,29,33
3/5 / W / 2/26 / 11.6 / 1,3,5,7,13,21,29,35 / 12/5 / W / 4/23 / 13.4 / 1,5,7,15
R / 2/27 / 11.7 / 1-3,5,23,31 / R / 4/24 / 13.4 / 17,19,27
F / 2/28 / 11.8 / 1,3,19,23,25 / F / 4/25 / r&p / CC&T/F Quiz Ch.13
8 / M / 3/3 / r&p / CC&T/F Quiz Ch.11 / 16 / M / 4/28 / Review / CC&T/F Quiz Ch. 9, 10
3/5 / W / 3/5 / Review / Next / W / 4/30 / Review / CC&T/F Quiz Ch.11
R / 3/6 / Exam 2 / class! / R / 5/1 / Review / CC&T/F Quiz Ch.12
WX!! / F / 3/7 / r&p / F / 5/2 / Review / Ch.13
Final Exam: Tue May 6, 7:50 am, Room: (same)