Mathematics
Te Tari Pāngarau me te Tatauranga
Department of Mathematics & Statistics

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## Resources for Math101

Recent additions are indicated like this

### 2019 Resources

2019 Exam (front page only)49 K

### 2019 S1 Algebra Outline Notes

Math160Algebra3709 K

### 2019 S1 Algebra Slides and scans

1_1_scans_VectorIntro586 K
1_1_slides_VectorIntro367 K
1_2_scans_CombiningVectors97 K
1_2_slides_CombiningVectors493 K
1_3_scans_VectorProperties172 K
1_3_slides_VectorProperties592 K
1_4_scans_DotsLines168 K
1_4_slides_DotsLines223 K
1_5_scans_LinesPlanes189 K
1_5_slides_LinesPlanes203 K
1_6_scans_PlanesPop124 K
1_6_slides_PlanesPop592 K
2_1_scans_LinearSystems439 K
2_1_slides_LinearSystemsInto1901 K
2_2_scans_EchelonForm223 K
2_2_slides_EchelonForm105 K
2_3_scans_SolvingLinear114 K
2_3_slides_SolvingLinear122 K
2_4_scans_GaussianElimination104 K
2_4_slides_GaussianElimination1954 K
3_1_scans_MatrixIntro114 K
3_1_slides_Matrix Intro127 K
3_2_scans_LinearFunctions125 K
3_2_slides_LinearFunctions127 K
3_3_scans_MatrixOperations271 K
3_3_slides_MatrixOperations129 K
3_4_scans_Products and Inverses197 K
3_4_slides_Products and Inverses126 K
3_5_scans_Matrix Operations205 K
3_5_slides_MatrixOperations1841 K
4_1_scans+LinesPointsPlanes182 K
4_1_slides_LinesPointsPlanes429 K
4_2_scans_Projections174 K
4_2_slides_Projections302 K
4_3_scans_Subspaces166 K
4_3_slides_Subspaces116 K
5_1_scans_Complex Introduction655 K
5_1_slides_Complex Introduction139 K
5_2_scans_ComplexAlgebra698 K
5_2_slides_ComplexAlgebra121 K
5_3_scans_ComplexPlane201 K
5_3_slides_ComplexPlane200 K
6_1_scans_Polynomial Roots946 K
6_1_slides_Polynomial Roots365 K
6_2_scans_Polynomial Interpolation179 K
6_2_slides_Polynomial Interpolation129 K
6_3_scans_Fitting Polynomials185 K
6_3_slides_Fitting Polynomials524 K

### 2019 S1 Calculus Outline Notes

Math160 - Calculus Notes - 2019S12940 K

### 2019 S1 Calculus Resources

A brief history of Calculus99 K
Private Tutors 2019157 K
Review of algebra949 K
Review of trigonometry1287 K

### 2019 S1 Calculus Slides and scans

1_1 Intro Functions (scans)45 K
1_1 Intro Functions (slides)276 K
1_2 Domain Range (scans)83 K
1_2 Domain Range (slides)145 K
2_1 Symmetries Scaling (scans)67 K
2_1 Symmetries Scaling (slides)143 K
2_2 Polynomials Rational Fns (scans)92 K
2_2 Polynomials Rational Fns (slides)115 K
3_1 Limits (scans)111 K
3_1 Limits (slides)219 K
3_2 One-Sided Limits Continuity (slides)151 K
3_2 One Sides Limits Continuity (scans)127 K
4_1 IVT inverse (scans)99 K
4_1 IVT inverse (slides)154 K
4_2 composition abs value (scans)116 K
4_2 composition abs value (slides)95 K
4_3 power trig exp log functions (scans)86 K
4_3 power trig exp log functions (slides)731 K
5_1 Rates of change - derivative def (scans)114 K
5_1 Rates of change - derivative def (slides)99 K
5_2 tangent - differentiability - derivative function (scans)101 K
5_2 tangent - differentiability - derivative function (slides)226 K
6_1 differentiation formulas 1 (scans)99 K
6_1 differentiation formulas 1 (slides)109 K
6_2 differentiation formulas 2 (scans)128 K
6_2 differentiation formulas 2 (slides)112 K
7_1 higher order derivatives (scans)79 K
7_1 higher order derivatives (slides)98 K
7_2 related rates differential equations (scans)123 K
7_2 related rates differential equations (slides)241 K
8_1 Carbon dating - Mean value theorem - Increase/decrease (scans)88 K
8_1 Carbon dating - Mean value theorem - Increase/decrease (slides)325 K
8_2 increase/decrease - extrema (scans)110 K
8_2 increase/decrease - extrema (slides)109 K
9_1 Finding absolute extrema (scans)74 K
9_1 Finding absolute extrema (slides)79 K
9_2 optimisation linear regression (scans)147 K
9_2 optimisation linear regression (slides)60 K
10_1 concavity (scans)96 K
10_1 concavity (slides)110 K
10_2 sketching function - distance problem (scans)129 K
10_2 sketching function - distance problem (slides)136 K
11_1 Riemann sums definite integral (scans)106 K
11_1 Riemann sums definite integral (slides)186 K
11_2 FTC1 antiderivatives (scans)115 K
11_2 FTC1 antiderivatives (slides)119 K
12_1 FTC2 integration by substitution (scans)97 K
12_1 FTC2 integration by substitution (slides)120 K
12_2 substitution accumulation motion (scans)116 K
12_2 substitution accumulation motion (slides)122 K

### 2019 S1 Tutorials

Tutorial 1 (with solutions)788 K
Tutorial 2 (with solutions)155 K
Tutorial 3 (with solutions)92 K
Tutorial 4 (with solutions)1107 K
Tutorial 5 (with solutions)108 K
Tutorial 6 (with solutions)105 K
Tutorial 7 (with solutions)99 K
Tutorial 8 (with solutions)179 K

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