Agenda and Assignments

Basic Mathematics for Social Scientists

Sections below (for the first part of the course) refer to [HC]. You are strongly encouraged to work on all the problems of the sections that we cover; solutions to these problems will become available over time, so that you could compare them with yours and consolidate your understanding. The suggested homework problems below are only a selection.

N.B. The assignments below are not for collection, unless specifically noted.

• Wed, Sept 2
  rates of change
  Section 2.1. #1, 3, 5, 6, 9, 14, 15, 17, 21
  Solutions

• Fri, Sept 4
  derivatives (concept)
  Section 2.2. #9-12, 14, 17, 30
  Section 2.3.

• Wed, Sept 9
  more on derivatives
  Section 2.3. #2, 8, 9, 17, 21, 24, 30
  Solutions

• Fri, Sept 11
  how to differentiate
  Section 3.1. #16, 23, 27, 34, 37, 45, 59
  Section 3.2. #2, 11, 15, 18, 25, 26, 29
  Solutions

• Mon, Sept 14
  chain rule
  Section 3.3. #1, 7, 12, 16, 21, 33, 34, 36, 41, 43, 48, 49
  Solutions

• Wed, Sept 16
  product rule
  Section 3.4. #5, 7, 13, 22, 23, 24, 40, 44
  Solutions

• Fri, Sept 18
  marginal revenue and cost
  Section 2.5. #3, 4, 7, 8, 10, 14
  Solutions
  Section 3.2. #30
  Section 3.3. #40
  Section 4.4. #16, 20, 26
  See links further above or below for solutions for these sections.

  finding maxima and minima
  Section 4.1. #7, 8, 12, 16, 19

• Mon, Sept 21
  global maxima and minima
  Section 4.3. #3, 8, 15, 24, 32, 36, 39, 40

  second derivatives and inflection points
  Section 2.4. #1, 6-8, 10, 13, 15, 21-23, 25, 27, 29
  Solutions
  Section 4.2. #4, 12, 19, 24, 31, 33
  Solutions (Sections 4.1-4.4)

• Wed, Sept 23
  more examples of optimization
  Section 4.5. #8, 9
  Section 4.7. #2, 4, 10
  Section 4.8. #1
  Solutions

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• Fri, Sept 25
  summation and integration
  Section 5.1. #1, 4, 6, 8, 10, 16, 17, 19, 20
  Solutions

• Mon, Sept 28
  definite integral
  Section 5.2. #2, 5, 8, 12, 17
  Section 5.3. #1, 9, 11-16, 18, 27
  Solutions

• Wed, Sept 30
  interpretation of definite integral
  Section 5.4. #8-10, 15, 17
  Solutions
  Section 6.1. #1, 11
  Section 6.2. #3, 4, 6, 12
  Solutions

• Fri, Oct 2
  fundamental theorem of calculus, finding anti-derivatives
  Section 5.5. #3, 4, 9-13
  Solutions
  Section 7.1. #1, 10, 14, 16, 21-23, 32, 46, 47, 49, 54, 63, 65, 68
  Solutions

• Mon, Oct 5
  integration by substitution
  Section 7.2. #1, 3, 5-7, 17, 19-21, 23, 32, 33, 36, 38, 40, 42
  Section 7.3. #11, 16, 19, 21, 23, 25, 29, 36
  Solutions

• Wed, Oct 7
  integration by parts
  Review examples in class.

• Fri, Oct 9
  first test covering calculus
  The test will take 50 minutes. Having a graphing calculator could be helpful.

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  Sections below (for the rest of the course) refer to [L]. You are strongly encouraged to work on all the problems of the sections that we cover; the suggested homework problems below are only a selection. At the end of each section we cover, there are Practice Problems (with solutions) which could be a great starting point before attempting homework. The *-ed problems are for further work and are well recommended. Solutions will be posted here over time.

• Wed, Oct 14
  systems of linear equations
  Section 1.1. #2, 3, 5, 7, 8, 13, 17, 18, 20, 22, 24, 27, 31, 33*, 34*

• Fri, Oct 16
  row reduction and echelon forms
  Section 1.2. #1, 4, 6, 8, 11, 12, 16, 19, 23, 29, 31

• Mon, Oct 19
  examples of (reduced) row echelon forms

  The following homework problems will be collected on Wednesday and will be graded as a quiz.
  Section 1.2, #12, 19, 29.

• Wed, Oct 21
  vectors
  Section 1.3. #1, 3, 7, 9, 11, 17, 16, 20, 22, 26, 27, 29*, 32

• Fri, Oct 23
  matrix equations
  Section 1.4. #1, 3, 11, 13, 15, 18, 25, 26, 31, 32, 39, 41

• Mon/Wed, Oct 26/28
  homogeneous equations and linear independence
  Section 1.5. #3, 5, 15, 7, 17, 19, 21, 24, 25*, 27*, 33, 35
  Section 1.7. #1-3, 9, 15, 19, 22-29, 31, 33, 41, 43

  The following homework problems will be collected on Friday and will be graded as a quiz.
  Section 1.4, #39, 41; Section 1.5, #7; Section 1.7, #9.

• Mon, Nov 2
  linear transformations
  Section 1.8. #5, 7, 9, 11, 16-20, 32, 33, 38, 39, 24*, 25*, 30*, 31*,

• Wed/Fri, Nov 4/6
  linear transformations and matrices (continued)
  Section 1.9. #1, 6, 8, 15, 18, 22, 27, 31, 32, 35, 36*, 38, 39

• Mon, Nov 9
  matrix operations
  Section 2.1. #2, 7, 10-12, 20, 22*, 23, 24, 25*, 26*

  The following homework problems will be collected on Friday and will be graded as a quiz.
  Section 1.9, #39; Section 2.1, #12, 23.

• Fri, Nov 13
  inverse matrices
  Section 2.2. #7, 9, 10, 13, 17-22, 24*, 31, 32, 35, 37*

• Mon, Nov 23
  nullity and rank
  Section 2.8. #1-4, 6, 7, 9, 14, 18-22, 25, 27, 28, 33, 35
  Section 2.9. #11, 14, 16, 19, 24

  vectors and bases
  Section 2.9. #1, 3, 6, 17, 18, 29, 30

• Wed, Nov 25
  determinants
  Section 3.1. #3, 13, 15, 21, 25, 30, 34, 37, 38*, 40, 41
  Section 3.2. #4, 5, 18, 21, 25, 27-29, 31, 34, 35

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