C | D | E | F | G | H | I | J | K | L | |
---|---|---|---|---|---|---|---|---|---|---|
1 | Subject | Link | Parent | Name | Translation of Name | Subject | Num topics | Num translated | % translated | |
2 | Universe | http://expii.com/map/0 | Universe | Universe | Vũ Trụ | Universe | 1 | 1 | 100% | |
3 | Math | http://expii.com/map/1617 | Universe | Math | Môn Toán | Math | 1 | 1 | 100% | |
4 | Science | http://expii.com/map/8910 | Universe | Science | Khoa Học | Science | 1 | 1 | 100% | |
5 | Calculus | http://expii.com/map/1 | Math | Calculus | Giải Tích | Calculus | 559 | 12 | 2% | |
6 | Calculus | http://expii.com/map/2 | Calculus | Derivatives and Integrals | Đạo hàm và Tích Phân | Biology Keystone | 356 | 0 | 0% | |
7 | Calculus | http://expii.com/map/118 | Derivatives and Integrals | Derivatives | Đạo hàm | Physics | 838 | 0 | 0% | |
8 | Calculus | http://expii.com/map/10003 | Derivatives | Extension: Multiple Variables | Mở rộng: Hàm nhiều biến | Astronomy | 279 | 0 | 0% | |
9 | Calculus | http://expii.com/map/9829 | Extension: Multiple Variables | Extension: Directional Derivatives | Algebra 1 | 484 | 210 | 43% | ||
10 | Calculus | http://expii.com/map/9982 | Extension: Multiple Variables | Extension: Partial Derivatives | Algebra 2 | 592 | 0 | 0% | ||
11 | Calculus | http://expii.com/map/120 | Derivatives | Analyzing Functions: the Shape of a Graph | Advanced Topics | 1938 | 0 | 0% | ||
12 | Calculus | http://expii.com/map/10378 | Analyzing Functions: the Shape of a Graph | Extension: Checking Injectivity | Geometry | 749 | 0 | 0% | ||
13 | Calculus | http://expii.com/map/123 | Analyzing Functions: the Shape of a Graph | Calculus of Increasing and Decreasing Functions | Biology | 2317 | 0 | 0% | ||
14 | Calculus | http://expii.com/map/124 | Analyzing Functions: the Shape of a Graph | What Does Always-Zero Derivative Mean? | Chemistry | 690 | 0 | 0% | ||
15 | Calculus | http://expii.com/map/127 | Analyzing Functions: the Shape of a Graph | What are Extrema and Critical Points? | Pre-Algebra | 226 | 158 | 70% | ||
16 | Calculus | http://expii.com/map/128 | What are Extrema and Critical Points? | Local and Global Extrema | Earth Science | 488 | 0 | 0% | ||
17 | Calculus | http://expii.com/map/129 | What are Extrema and Critical Points? | Derivatives at Local Extrema | 8805 | 158 | 2% | |||
18 | Calculus | http://expii.com/map/130 | What are Extrema and Critical Points? | What are Saddle Points and Turning Points? | ||||||
19 | Calculus | http://expii.com/map/131 | What are Extrema and Critical Points? | What are Critical Points? | ||||||
20 | Calculus | http://expii.com/map/132 | Analyzing Functions: the Shape of a Graph | Rolle's Theorem and MVT | Contribution leaderboard | |||||
21 | Calculus | http://expii.com/map/133 | Rolle's Theorem and MVT | Rolle's Theorem | Định lí Rơ-le | http://expii.com/leaderboard | ||||
22 | Calculus | http://expii.com/map/134 | Rolle's Theorem and MVT | Mean Value Theorem | Định lí giá trị trung bình | |||||
23 | Calculus | http://expii.com/map/710 | Rolle's Theorem and MVT | Extension: MVT for "Projections" of $\ge2$-D Parametric Curves | ||||||
24 | Calculus | http://expii.com/map/711 | Rolle's Theorem and MVT | Extension: $\ge2$-D "Parametric" Rolle's Theorem in Arbitrary Directions | ||||||
25 | Calculus | http://expii.com/map/712 | Rolle's Theorem and MVT | Extension: 2-D Parametric MVT (Cauchy's MVT) | ||||||
26 | Calculus | http://expii.com/map/135 | Analyzing Functions: the Shape of a Graph | Extension: Darboux's Theorem | ||||||
27 | Calculus | http://expii.com/map/136 | Extension: Darboux's Theorem | Extension: Derivative "IVT", Part 1 | ||||||
28 | Calculus | http://expii.com/map/137 | Extension: Darboux's Theorem | Extension: Derivative "IVT", Part 2 | ||||||
29 | Calculus | http://expii.com/map/138 | Extension: Darboux's Theorem | Extension: Darboux's Theorem from MVT (and IVT) | ||||||
30 | Calculus | http://expii.com/map/139 | Extension: Darboux's Theorem | Extension: Discontinuities in Derivative Functions, Take 1 | ||||||
31 | Calculus | http://expii.com/map/140 | Analyzing Functions: the Shape of a Graph | Drawing Derivative Functions | ||||||
32 | Calculus | http://expii.com/map/141 | Drawing Derivative Functions | Sketching, Part 1: Continuous, Differentiable Functions | ||||||
33 | Calculus | http://expii.com/map/142 | Drawing Derivative Functions | Sketching, Part 2: Discontinuities, Cusps, and Vertical Tangents | ||||||
34 | Calculus | http://expii.com/map/65 | Analyzing Functions: the Shape of a Graph | Function Convexity and Concavity | ||||||
35 | Calculus | http://expii.com/map/122 | Function Convexity and Concavity | Concave (Up and Down) Functions and Inflection Points | ||||||
36 | Calculus | http://expii.com/map/125 | Function Convexity and Concavity | Relative Location of Tangents to Concave Up/Down Functions | ||||||
37 | Calculus | http://expii.com/map/126 | Function Convexity and Concavity | Extension: Relative Location of Secants, and Jensen's Inequality | ||||||
38 | Calculus | http://expii.com/map/8949 | Analyzing Functions: the Shape of a Graph | Effect of Transformations on Derivatives and Tangent Lines | ||||||
39 | Calculus | http://expii.com/map/157 | Derivatives | Differentiation Rules and Computations | ||||||
40 | Calculus | http://expii.com/map/10329 | Differentiation Rules and Computations | Radicals and Power Rule | ||||||
41 | Calculus | http://expii.com/map/10328 | Radicals and Power Rule | Derivative of $n$th Root | ||||||
42 | Calculus | http://expii.com/map/160 | Radicals and Power Rule | Power Rule for Rational Exponents | ||||||
43 | Calculus | http://expii.com/map/163 | Radicals and Power Rule | Full Power Rule | ||||||
44 | Calculus | http://expii.com/map/119 | Differentiation Rules and Computations | Polynomials | Đa thức | |||||
45 | Calculus | http://expii.com/map/1244 | Differentiation Rules and Computations | Extension: Hyperbolic Functions | Mở rộng: Hàm Hyperbol | |||||
46 | Calculus | http://expii.com/map/143 | Differentiation Rules and Computations | Product and Quotient Rules | Đạo hàm của tích và thương các hàm số | |||||
47 | Calculus | http://expii.com/map/146 | Product and Quotient Rules | Product Rule | Đào hàm của tích các hàm số | |||||
48 | Calculus | http://expii.com/map/147 | Product and Quotient Rules | Quotient Rule | Đạo hàm của thương các hàm số | |||||
49 | Calculus | http://expii.com/map/149 | Product and Quotient Rules | Derivative of $1/f$ (Reciprocal) | ||||||
50 | Calculus | http://expii.com/map/144 | Differentiation Rules and Computations | Monomials | Đơn thức | |||||
51 | Calculus | http://expii.com/map/158 | Monomials | Power Rule for Integer Exponents | ||||||
52 | Calculus | http://expii.com/map/165 | Monomials | Warning: Derivative of $3^2$ | ||||||
53 | Calculus | http://expii.com/map/145 | Differentiation Rules and Computations | Chain Rule | ||||||
54 | Calculus | http://expii.com/map/148 | Differentiation Rules and Computations | Sums, Differences, and Constant Multiples | ||||||
55 | Calculus | http://expii.com/map/150 | Differentiation Rules and Computations | Implicit Functions and Differentiation | ||||||
56 | Calculus | http://expii.com/map/153 | Implicit Functions and Differentiation | Implicit Functions | ||||||
57 | Calculus | http://expii.com/map/155 | Implicit Functions and Differentiation | Extension: Implicit Differentiation, More Rigorously | ||||||
58 | Calculus | http://expii.com/map/156 | Implicit Functions and Differentiation | Implicit Differentiation | ||||||
59 | Calculus | http://expii.com/map/159 | Differentiation Rules and Computations | Trig Functions | ||||||
60 | Calculus | http://expii.com/map/161 | Differentiation Rules and Computations | Exponentials | ||||||
61 | Calculus | http://expii.com/map/164 | Differentiation Rules and Computations | Using the Limit Definition | ||||||
62 | Calculus | http://expii.com/map/9984 | Differentiation Rules and Computations | Logs and Trig Inverses | ||||||
63 | Calculus | http://expii.com/map/151 | Logs and Trig Inverses | Derivative of $f^{-1}$ (Inverse) | ||||||
64 | Calculus | http://expii.com/map/152 | Logs and Trig Inverses | Extension: Logarithmic Differentiation | ||||||
65 | Calculus | http://expii.com/map/162 | Logs and Trig Inverses | Inverse Trig Functions | ||||||
66 | Calculus | http://expii.com/map/9981 | Logs and Trig Inverses | Logarithms | ||||||
67 | Calculus | http://expii.com/map/166 | Derivatives | What are Derivatives? | ||||||
68 | Calculus | http://expii.com/map/168 | What are Derivatives? | Differentiability Implies Continuity | ||||||
69 | Calculus | http://expii.com/map/169 | What are Derivatives? | Continuity Does Not Imply Differentiability | ||||||
70 | Calculus | http://expii.com/map/170 | What are Derivatives? | Derivative as a Function | ||||||
71 | Calculus | http://expii.com/map/171 | What are Derivatives? | Higher Derivatives | ||||||
72 | Calculus | http://expii.com/map/172 | What are Derivatives? | Derivatives "Equal to Infinity" | ||||||
73 | Calculus | http://expii.com/map/173 | What are Derivatives? | Tangent Lines and Linearization | ||||||
74 | Calculus | http://expii.com/map/174 | Tangent Lines and Linearization | Differentials in Linear Approximation | ||||||
75 | Calculus | http://expii.com/map/175 | Tangent Lines and Linearization | Extension: Error Analysis | ||||||
76 | Calculus | http://expii.com/map/176 | Tangent Lines and Linearization | Tangent Line and Approximation at a Point | ||||||
77 | Calculus | http://expii.com/map/4046 | Tangent Lines and Linearization | Extension: Why Linear Approximation Specifically? | ||||||
78 | Calculus | http://expii.com/map/177 | What are Derivatives? | Derivative at a Point | ||||||
79 | Calculus | http://expii.com/map/167 | Derivative at a Point | Intuition | ||||||
80 | Calculus | http://expii.com/map/178 | Derivative at a Point | Definition, Examples, and Interpretations | ||||||
81 | Calculus | http://expii.com/map/179 | Derivative at a Point | Intuition for Differentials ($dy$) | ||||||
82 | Calculus | http://expii.com/map/180 | What are Derivatives? | Estimating Derivatives | ||||||
83 | Calculus | http://expii.com/map/181 | Estimating Derivatives | Extension: Numerical Differentiation Algorithms, and Error Analysis | ||||||
84 | Calculus | http://expii.com/map/182 | Estimating Derivatives | Estimation Given a Graph | ||||||
85 | Calculus | http://expii.com/map/183 | Estimating Derivatives | Estimation Given Function Values | ||||||
86 | Calculus | http://expii.com/map/184 | Derivatives and Integrals | Applications of Derivatives | ||||||
87 | Calculus | http://expii.com/map/10043 | Applications of Derivatives | Extension: Iterative Optimization | ||||||
88 | Calculus | http://expii.com/map/1229 | Applications of Derivatives | Exponential Growth and Decay | ||||||
89 | Calculus | http://expii.com/map/1243 | Applications of Derivatives | Review of Chain Rule and Implicit Differentiation | ||||||
90 | Calculus | http://expii.com/map/1245 | Applications of Derivatives | Review of Derivative | ||||||
91 | Calculus | http://expii.com/map/1246 | Applications of Derivatives | Summary of Linear Approximation | ||||||
92 | Calculus | http://expii.com/map/185 | Applications of Derivatives | Slopes in Polar and Parametric Coordinates | ||||||
93 | Calculus | http://expii.com/map/187 | Slopes in Polar and Parametric Coordinates | Slopes in Polar and Parametric Coordinates | ||||||
94 | Calculus | http://expii.com/map/188 | Slopes in Polar and Parametric Coordinates | Extension: Another Look at the Extended (Cauchy's) Mean Value Theorem | ||||||
95 | Calculus | http://expii.com/map/186 | Applications of Derivatives | Related Rates | ||||||
96 | Calculus | http://expii.com/map/189 | Applications of Derivatives | Newton's Method | ||||||
97 | Calculus | http://expii.com/map/190 | Newton's Method | Newton's Method for Approximating Zeros of Functions | ||||||
98 | Calculus | http://expii.com/map/191 | Newton's Method | Extension: Shortcomings of Newton's Method | ||||||
99 | Calculus | http://expii.com/map/192 | Applications of Derivatives | Physical Applications | ||||||
100 | Calculus | http://expii.com/map/193 | Physical Applications | Physical Extrema and Optimization |