**Become a Calculus 1 Master**

English | MP4 | AVC 1280×720 | AAC 44KHz 2ch | 18.5 Hours | 1.66 GB

Learn everything from Calculus 1, then test your knowledge with 600+ practice questions

HOW BECOME A CALCULUS 1 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:

This 395-lesson course includes video and text explanations of everything from Calculus 1, and it includes 110 quizzes (with solutions!) and an additional 28 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 1 Master is organized into the following sections:

Precalculus

Limits & Continuity

Derivatives

Applications of Derivatives

AND HERE’S WHAT YOU GET INSIDE OF EVERY SECTION:

Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning… I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.

Workbooks: Want even more practice? When you’ve finished the section, you can review everything you’ve learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they’re a great way to solidify what you just learned in that section.

What you’ll learn

- Precalculus, including functions, their graphs, and how to modify functions
- Limits & Continuity, including how to solve every kind of limit problem, and how to find discontinuities in a function
- Derivatives, including all of the derivative rules, the infamous chain rule, and how to do implicit differentiation
- Applications of Derivatives, including two of the hardest topics from Calc 1: optimization and related rates

**Table of Contents**

**Calculus 1 – Introduction & Resources**

1 Hi! START HERE: Course overview

2 Download the Calc 1 formula sheet

**Foundations of Calculus – Functions**

3 Introduction to functions

4 RESOURCE: Quiz solutions for this section

5 Introduction to functions

6 Vertical line test

7 Vertical line test

8 Domain and range

9 Domain and range from a graph

10 Domain and range from a graph

11 Even, odd, or neither

12 Independent and dependent variables

13 BONUS! Extra practice problems.

**Foundations of Calculus – Graphing functions**

14 Introduction to graphing functions

15 RESOURCE: Quiz solutions for this section

16 Equation modeling

17 Modeling a piecewise-defined function

18 Sketching graphs from story problems

19 Equation of a line in point-slope form

20 Equation of a line in point-slope form

21 Equation of a line in slope-intercept form

22 Equation of a line in slope-intercept form

23 Graphing parabolas

24 Finding center and radius of a circle

25 Graphing circles

26 BONUS! Extra practice problems.

**Foundations of Calculus – Modifying functions**

27 Introduction to modifying functions

28 RESOURCE: Quiz solutions for this section

29 Combinations of functions

30 Composite functions

31 Composite functions, domain

32 BONUS! Extra practice problems.

**Foundations of Calculus – Inverse functions and logarithms**

33 Introduction to inverse functions and logarithms

34 RESOURCE: Quiz solutions for this section

35 Horizontal line test (1-to-1)

36 Horizontal line test (1-to-1)

37 Inverse functions

38 Finding the equation of a function from points on its inverse

39 Laws of logarithms

40 BONUS! Extra practice problems.

**Foundations of Calculus – Other functions and trigonometry**

41 Introduction to other functions and trigonometry

42 RESOURCE: Quiz solutions for this section

43 Quadratic formula

44 Quadratic formula

45 Completing the square

46 Completing the square

47 Long division of polynomials

48 Long division of polynomials

49 Unit circle

50 BONUS! Extra practice problems.

**Limits & Continuity – Idea of the limit**

51 Introduction to idea of the limit

52 RESOURCE: Quiz solutions for this section

53 Introduction to limits and continuity

54 Idea of the limit

55 BONUS! Extra practice problems.

**Limits & Continuity – Formal definition of the limit**

56 Introduction to formal definition of the limit

57 RESOURCE: Quiz solutions for this section

58 One-sided limits

59 One-sided limits

60 Proving that the limit does not exist

61 Precise definition of the limit

62 Precise definition of the limit

63 Precise definition of the limit, finding delta

64 BONUS! Extra practice problems.

**Limits & Continuity – Combinations and composites**

65 Introduction to combinations and composites

66 RESOURCE: Quiz solutions for this section

67 Limits of combinations

68 Limits of composites

69 BONUS! Extra practice problems.

**Limits & Continuity – Continuity**

70 Introduction to continuity

71 RESOURCE: Quiz solutions for this section

72 Introduction to continuity

73 Introduction to continuity

74 Removable discontinuities

75 Jump discontinuities

76 Infinite/essential discontinuities

77 BONUS! Extra practice problems.

**Limits & Continuity – Intermediate value theorem**

78 Introduction to intermediate value theorem

79 RESOURCE: Quiz solutions for this section

80 Intermediate value theorem

81 Intermediate value theorem

82 Intermediate value theorem with an interval

83 Intermediate value theorem without an interval

84 BONUS! Extra practice problems.

**Limits & Continuity – Solving limits**

85 Introduction to solving limits

86 RESOURCE: Quiz solutions for this section

87 Solving with substitution

88 Solving with substitution

89 Solving with factoring

90 Solving with factoring

91 Solving with conjugate method

92 Solving with conjugate method

93 Infinite limits (vertical asymptotes)

94 Infinite limits (vertical asymptotes)

95 Crazy graphs

96 Trigonometric limits

97 Trigonometric limits

98 Making the function continuous

99 Making the function continuous

100 BONUS! Extra practice problems.

**Limits & Continuity – Squeeze theorem**

101 Introduction to squeeze theorem

102 RESOURCE: Quiz solutions for this section

103 Squeeze theorem

104 Squeeze theorem

105 Squeeze theorem, limit of an inequality

106 BONUS! Extra practice problems.

**Derivatives – Definition of the derivative**

107 Introduction to definition of the derivative

108 RESOURCE: Quiz solutions for this section

109 Introduction to derivatives

110 Difference quotient

111 Definition of the derivative

112 Definition of the derivative

113 BONUS! Extra practice problems.

**Derivatives – Derivative rules**

114 Introduction to derivative rules

115 RESOURCE: Quiz solutions for this section

116 Power rule

117 Power rule

118 Power rule, example 2

119 Power rule for negative exponents or powers in the denominator

120 Power rule for fractional powers or radicals

121 Product rule, two functions

122 Product rule, two functions

123 Product rule, three or more functions

124 Product rule, three or more functions

125 Quotient rule

126 Quotient rule

127 Reciprocal rule

128 Reciprocal rule

129 BONUS! Extra practice problems.

**Derivatives – Chain rule**

130 Introduction to chain rule

131 RESOURCE: Quiz solutions for this section

132 Chain rule with power rule

133 Chain rule with power rule

134 Chain rule with product rule

135 Chain rule with product rule

136 Chain rule with quotient rule

137 Chain rule with quotient rule

138 Chain rule with trig functions

139 Chain rule with trig functions

140 BONUS! Extra practice problems.

**Derivatives – Derivatives of trig functions**

141 Introduction to derivatives of trig functions

142 RESOURCE: Quiz solutions for this section

143 Trigonometric derivatives

144 Trigonometric derivatives

145 Trigonometric derivatives, cotangent

146 Inverse trigonometric derivatives

147 Inverse trigonometric derivatives, arcsine

148 Inverse trigonometric derivatives, arccotangent

149 Hyperbolic derivatives

150 Hyperbolic derivatives

151 Inverse hyperbolic derivatives

152 Inverse hyperbolic derivatives

153 BONUS! Extra practice problems.

**Derivatives – Derivatives of ln(x) and e^x**

154 Introduction to derivatives of ln(x) and e^x

155 RESOURCE: Quiz solutions for this section

156 Exponential derivatives

157 Exponential derivatives

158 Logarithmic derivatives

159 Logarithmic derivatives

160 Logarithmic derivatives, example 2

161 Logarithmic differentiation

162 Logarithmic differentiation, example 2

163 Derivative of x^x

164 BONUS! Extra practice problems.

**Derivatives – Tangent and normal lines**

165 Introduction to tangent and normal lines

166 RESOURCE: Quiz solutions for this section

167 Tangent lines

168 Tangent lines

169 Value that makes two tangent lines parallel

170 Values that make the function differentiable

171 Horizontal and vertical tangent lines and differentiability

172 Horizontal and vertical tangent lines and differentiability

173 Normal lines

174 Normal lines

175 Average rate of change

176 Average rate of change

177 BONUS! Extra practice problems.

**Derivatives – Implicit differentiation**

178 Introduction to implicit differentiation

179 RESOURCE: Quiz solutions for this section

180 Implicit differentiation

181 Implicit differentiation

182 Equation of the tangent line

183 Equation of the tangent line

184 Equation of the tangent line, example 2

185 Second derivatives

186 Second derivatives

187 BONUS! Extra practice problems.

**Applications of Derivatives – Optimization**

188 Introduction to optimization

189 RESOURCE: Quiz solutions for this section

190 Optimization

191 Optimization

192 Critical points

193 Increasing and decreasing

194 First derivative test

195 Concavity

196 Second derivative test

197 BONUS! Extra practice problems.

**Applications of Derivatives – Sketching graphs**

198 Introduction to sketching graphs

199 RESOURCE: Quiz solutions for this section

200 Vertical asymptotes

201 Horizontal asymptotes

202 Slant asymptotes

203 Sketching graphs

204 Extrema on a closed interval

205 Extrema on a closed interval

206 Sketching f(x) given f'(x), or vice versa

207 BONUS! Extra practice problems.

**Applications of Derivatives – Linear approximation**

208 Introduction to linear approximation

209 RESOURCE: Quiz solutions for this section

210 Linear approximation

211 Linear approximation

212 Linear approximation to estimate a root

213 Linearization

214 BONUS! Extra practice problems.

**Applications of Derivatives – Related rates**

215 Introduction to related rates

216 RESOURCE: Quiz solutions for this section

217 Introduction to related rates

218 Introduction to related rates

219 Radius of the balloon

220 Price of the product

221 Water level in the tank

222 Observer and the airplane

223 Ladder sliding down the wall

224 BONUS! Extra practice problems.

**Applications of Derivatives – Applied optimization**

225 Introduction to applied optimization

226 RESOURCE: Quiz solutions for this section

227 Applied optimization

228 Dimensions of a rectangle that maximize its area

229 Dimensions of a rectangle that minimize its perimeter

230 Dimensions that minimize page size with a given printed area

231 Two real numbers with minimum product

232 Two real numbers with minimum sum of squares

233 Point on the line closest to another point

234 Time when velocity is minimum

235 Dimensions that maximize the volume of a box

236 Dimensions that minimize the surface area of an open top box

237 Width that minimizes the surface area of an open top box

238 Dimensions that maximize the volume of a cylinder

239 Dimensions that minimize the surface area of a cylinder

240 Maximum volume of a cone-shaped cup

241 Production level and sale price that maximize profit

242 Sales level that maximizes revenue

243 Maximum area of a rectangle inscribed in a semicircle

244 Dimensions that maximize the area of a rectangle inscribed in a triangle

245 Maximum volume of a cylinder inscribed in a sphere

246 BONUS! Extra practice problems.

**Applications of Derivatives – Derivative theorems**

247 Introduction to derivative theorems

248 RESOURCE: Quiz solutions for this section

249 Mean value theorem

250 Mean value theorem

251 Rolle’s theorem

252 Rolle’s theorem

253 Newton’s method

254 Newton’s method

255 L’Hospital’s rule

256 L’Hospital’s rule

257 Limits at infinity (horizontal asymptotes)

258 Limits at infinity (horizontal asymptotes)

259 BONUS! Extra practice problems.

**Applications of Derivatives – Physics**

260 Introduction to physics

261 RESOURCE: Quiz solutions for this section

262 Position function

263 Position function

264 Position function of a particle

265 Vertical motion

266 Vertical motion, ball thrown up from the ground

267 Vertical motion, coin dropped from the roof

268 BONUS! Extra practice problems.

**Applications of Derivatives – Economics**

269 Introduction to economics

270 RESOURCE: Quiz solutions for this section

271 Marginal cost, revenue, and profit

272 Marginal cost, revenue, and profit

273 BONUS! Extra practice problems.

**Applications of Derivatives – Exponential growth and decay**

274 Introduction to exponential growth and decay

275 RESOURCE: Quiz solutions for this section

276 Half life

277 Half life

278 Compounding interest

279 Compounding interest

280 Sales decline

281 Sales decline

282 BONUS! Extra practice problems.

**Final exam and wrap-up**

283 Calculus 1 final exam

284 Wrap-up

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