1. PreCalculus Full Course For Beginners
In mathematics education, #precalculus or college algebra is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.
⭐ Table of Contents ⭐
⌨️ (0:00:00) The real number system
⌨️ (0:08:24) Order of operations
⌨️ (0:16:31) Interval notation
⌨️ (0:24:19) Union and intersection
⌨️ (0:30:36) Absolute value
⌨️ (0:38:16) Absolute value inequalities
⌨️ (0:46:38) Fraction addition
⌨️ (0:55:06) Fraction multiplication
⌨️ (1:02:16) Fraction devision
⌨️ (1:10:46) Exponents
⌨️ (1:34:40) Lines
⌨️ (1:43:44) Expanding
⌨️ (1:52:00) Pascal's review
⌨️ (1:59:14) Polynomial terminology
⌨️ (2:08:22) Factors and roots
⌨️ (2:17:50) Factoring quadratics
⌨️ (2:28:54) Factoring formulas
⌨️ (2:37:30) Factoring by grouping
⌨️ (2:43:52) Polynomial inequalities
⌨️ (2:52:57) Rational expressions
⌨️ (3:00:12) Functions - introduction
⌨️ (3:04:05) Functions - Definition
⌨️ (3:10:08) Functions - examples
⌨️ (3:19:05) Functions - notation
⌨️ (3:27:21) Functions - Domain
⌨️ (3:34:43) Functions - Graph basics
⌨️ (3:44:33) Functions - arithmetic
⌨️ (3:53:00) Functions - composition
⌨️ (4:03:40) Fucntions - inverses
⌨️ (4:17:32) Functions - Exponential definition
⌨️ (4:27:25) Functions - Exponential properties
⌨️ (4:35:55) Functions - logarithm definition
⌨️ (4:44:00) Functions - logarithm properties
⌨️ (4:53:21) Functions - logarithm change of base
⌨️ (4:59:31) Functions - logarithm examples
⌨️ (5:09:29) Graphs polynomials
⌨️ (5:20:14) Graph rational
⌨️ (5:39:32) Graphs - common expamples
⌨️ (5:50:36) Graphs - transformations
⌨️ (5:58:37) Graphs of trigonometry function
⌨️ (6:08:20) Trigonometry - Triangles
⌨️ (6:16:04) Trigonometry - unit circle
⌨️ (6:25:14) Trigonometry - Radians
⌨️ (6:34:10) Trigonometry - Special angles
⌨️ (6:43:56) Trigonometry - The six functions
⌨️ (6:51:19) Trigonometry - Basic identities
⌨️ (6:57:15) Trigonometry - Derived identities
2. PreCalculus Lesson 1
This video is a review of the exponent laws and the rules for simplifying rationals in preparation for a course in calculus.
3. Precalculus Course
Learn Precalculus in this full college course. These concepts are often used in programming.
This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel: youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw
⭐️ Lecture Notes ⭐️
🔗 Part 1 - Functions: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part1_Functions.pdf
🔗 Part 2 - Trigonometry: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part2_Trig.pdf
🔗 Part 3 - Conic Sections: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part3_ConicSections.pdf
🔗 Part 4 - Parametric Equations, Polar Coordinates, and the Difference Quotient: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part4_ParametricPolarDiffQuot.pdf
⭐️ Course Contents ⭐️
⌨️ (0:00:00) Functions
⌨️ (0:12:06) Increasing and Decreasing Functions
⌨️ (0:17:35) Maximums and minimums on graphs
⌨️ (0:26:38) Even and Odd Functions
⌨️ (0:36:12) Toolkit Functions
⌨️ (0:43:18) Transformations of Functions
⌨️ (0:55:48) Piecewise Functions
⌨️ (1:00:19) Inverse Functions
⌨️ (1:14:34) Angles and Their Measures
⌨️ (1:22:47) Arclength and Areas of Sectors
⌨️ (1:28:39) Linear and Radial Speed
⌨️ (1:33:02) Right Angle Trigonometry
⌨️ (1:40:38) Sine and Cosine of Special Angles
⌨️ (1:48:41) Unit Circle Definition of Sine and Cosine
⌨️ (1:54:11) Properties of Trig Functions
⌨️ (1:04:50) Graphs of Sine and Cosine
⌨️ (2:11:23) Graphs of Sinusoidal Functions
⌨️ (2:21:36) Graphs of Tan, Sec, Cot, Csc
⌨️ (2:30:29) Graphs of Transformations of Tan, Sec, Cot, Csc
⌨️ (2:39:02) Inverse Trig Functions
⌨️ (2:48:49) Solving Basic Trig Equations
⌨️ (2:55:49) Solving Trig Equations that Require a Calculator
⌨️ (3:05:44) Trig Identities
⌨️ (3:13:16) Pythagorean Identities
⌨️ (3:18:37) Angle Sum and Difference Formulas
⌨️ (3:26:33) Proof of the Angle Sum Formulas
⌨️ (3:31:09) Double Angle Formulas
⌨️ (3:38:39) Half Angle Formulas
⌨️ (3:44:50) Solving Right Triangles
⌨️ (3:51:24) Law of Cosines
⌨️ (4:01:24) Law of Cosines - old version
⌨️ (4:09:44) Law of Sines
⌨️ (4:17:34) Parabolas - Vertex, Focus, Directrix
⌨️ (4:29:24) Ellipses
⌨️ (4:40:33) Hyperbolas
⌨️ (4:54:23) Polar Coordinates
⌨️ (5:01:55) Parametric Equations
⌨️ (5:13:22) Difference Quotient
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4. Pre-Calculus : Introduction to Series
A series can be highly generalized as the sum of all the terms in a sequence.
5. Schaum's Outline PreCalculus
More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams.
McGraw-Hill is pleased to introduce Schaum's Outline of Precalculus Enhanced E-book, featuring 30 videos of instructors working through common precalculus problems.
In this video we are solving an exponents problem.
6. Physics - Basic Introduction
This video tutorial provides a basic introduction into physics. It covers basic concepts commonly taught in physics.
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7. Precalculus Syllabus Overview
8. How to Navigate Pre-Calculus 11
9. Calculus 1 - Full College Course
Learn Calculus 1 in this full college course.
This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel: youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw
This course combines two courses taught by Dr. Green. She teaches both Calculus 1 and a Calculus 1 Corequisite course, designed to be taken at the same time. In this video, the lectures from the Corquisite course, which review important Algebra and Trigonometry concepts, have been interspersed with the Calculus 1 lectures at the places suggested by Dr. Green.
⭐️ Prerequisites ⭐️
🎥 Algebra: youtube.com/watch?v=LwCRRUa8yTU
🎥 Precalculus: youtube.com/watch?v=eI4an8aSsgw
⭐️ Lecture Notes ⭐️
🔗 Calculus 1 Corequisite Notes: lindagreen.web.unc.edu/files/2020/08/courseNotes_math231L_2020Fall.pdf
🔗 Calculus 1 Notes: lindagreen.web.unc.edu/files/2019/12/courseNotes_m231_2018_S.pdf
⭐️ Course Contents ⭐️
(0:00:00) [Corequisite] Rational Expressions
(0:09:40) [Corequisite] Difference Quotient
(0:18:20) Graphs and Limits
(0:25:51) When Limits Fail to Exist
(0:31:28) Limit Laws
(0:37:07) The Squeeze Theorem
(0:42:55) Limits using Algebraic Tricks
(0:56:04) When the Limit of the Denominator is 0
(1:08:40) [Corequisite] Lines: Graphs and Equations
(1:17:09) [Corequisite] Rational Functions and Graphs
(1:30:35) Limits at Infinity and Graphs
(1:37:31) Limits at Infinity and Algebraic Tricks
(1:45:34) Continuity at a Point
(1:53:21) Continuity on Intervals
(1:59:43) Intermediate Value Theorem
(2:03:37) [Corequisite] Right Angle Trigonometry
(2:11:13) [Corequisite] Sine and Cosine of Special Angles
(2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine
(2:24:46) [Corequisite] Properties of Trig Functions
(2:35:25) [Corequisite] Graphs of Sine and Cosine
(2:41:57) [Corequisite] Graphs of Sinusoidal Functions
(2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc
(3:01:03) [Corequisite] Solving Basic Trig Equations
(3:08:14) Derivatives and Tangent Lines
(3:22:55) Computing Derivatives from the Definition
(3:34:02) Interpreting Derivatives
(3:42:33) Derivatives as Functions and Graphs of Derivatives
(3:56:25) Proof that Differentiable Functions are Continuous
(4:01:09) Power Rule and Other Rules for Derivatives
(4:07:42) [Corequisite] Trig Identities
(4:15:14) [Corequisite] Pythagorean Identities
(4:20:35) [Corequisite] Angle Sum and Difference Formulas
(4:28:31) [Corequisite] Double Angle Formulas
(4:36:01) Higher Order Derivatives and Notation
(4:39:22) Derivative of e^x
(4:46:52) Proof of the Power Rule and Other Derivative Rules
(4:56:31) Product Rule and Quotient Rule
(5:02:09) Proof of Product Rule and Quotient Rule
(5:10:40) Special Trigonometric Limits
(5:17:31) [Corequisite] Composition of Functions
(5:29:54) [Corequisite] Solving Rational Equations
(5:40:02) Derivatives of Trig Functions
(5:46:23) Proof of Trigonometric Limits and Derivatives
(5:54:38) Rectilinear Motion
(6:11:41) Marginal Cost
(6:16:51) [Corequisite] Logarithms: Introduction
(6:25:32) [Corequisite] Log Functions and Their Graphs
(6:36:17) [Corequisite] Combining Logs and Exponents
(6:40:55) [Corequisite] Log Rules
(6:49:27) The Chain Rule
(6:58:44) More Chain Rule Examples and Justification
(7:07:43) Justification of the Chain Rule
(7:10:00) Implicit Differentiation
(7:20:28) Derivatives of Exponential Functions
(7:25:38) Derivatives of Log Functions
(7:29:38) Logarithmic Differentiation
(7:37:08) [Corequisite] Inverse Functions
(7:51:22) Inverse Trig Functions
(8:00:56) Derivatives of Inverse Trigonometric Functions
(8:12:11) Related Rates - Distances
(8:17:55) Related Rates - Volume and Flow
(8:22:21) Related Rates - Angle and Rotation
(8:28:20) [Corequisite] Solving Right Triangles
(8:34:54) Maximums and Minimums
(8:46:18) First Derivative Test and Second Derivative Test
(8:51:37) Extreme Value Examples
(9:01:33) Mean Value Theorem
(9:09:09) Proof of Mean Value Theorem
(0:14:59) [Corequisite] Solving Right Triangles
(9:25:20) Derivatives and the Shape of the Graph
(9:33:31) Linear Approximation
(9:48:28) The Differential
(9:59:11) L'Hospital's Rule
(10:06:27) L'Hospital's Rule on Other Indeterminate Forms
(10:16:13) Newtons Method
(10:27:45) Antiderivatives
(10:33:24) Finding Antiderivatives Using Initial Conditions
(10:41:59) Any Two Antiderivatives Differ by a Constant
(10:45:19) Summation Notation
(10:49:12) Approximating Area
(11:04:22) The Fundamental Theorem of Calculus, Part 1
(11:15:02) The Fundamental Theorem of Calculus, Part 2
(11:22:17) Proof of the Fundamental Theorem of Calculus
(11:29:18) The Substitution Method
(11:38:07) Why U-Substitution Works
(11:40:23) Average Value of a Function
(11:47:57) Proof of the Mean Value Theorem for Integrals
10. ALL OF GRADE 11 MATH IN 1 HOUR! (exam review part 1) | jensenmath.ca
This series of videos goes through a review of the main topics of the grade 11 functions course. This video is great to watch in preparation for your final exam. If you want more detailed videos on each topic, go to jensenmath.ca.
Topics covered in this video series include:
Part 1:
- what is a function? (vertical line test)
- function notation
- finding the vertex of a quadratic (completing square & partial factoring)
- solving quadratics (factoring & quadratic formula)
- solving a linear quadratic system
- operations with rational expressions
Part 2:
- transformations of functions
- exponential functions
- discrete functions (sequences & series)
Part 3:
- trigonometric ratios (using special triangles)
- trigonometric functions
11. How to Make it Through Calculus (Neil deGrasse Tyson)
Neil deGrasse Tyson talks about his personal struggles taking calculus and what it took for him to ultimately become successful at it.
12. Mr. Owen's Syllabus and Procedures.
A brief overview of my class syllabus and procedures for Algebra II and Pre-Calculus.
13. PreCalculus Full Course For Beginners
In mathematics education, #precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework. In this precalculus course following topics have been discussed in a very comprehensive way.
⭐️ Table of Content ⭐️
0:00 Functions
11:53 Increasing and Decreasing Functions
17:22 Maximums and minimums on graphs
26:25 Even and Odd Functions
35:39 Toolkit Functions
43:05 Transformations of Functions
55:34 Piecewise Functions
1:00:06 Inverse Functions
1:14:20 Angles and Their Measures
1:22:23 Arclength and Areas of Sectors
1:28:27 Linear and Radial Speed
1:32:49 Right Angle Trigonometry
1:40:24 Sine and Cosine of Special Angles
1:48:28 Unit Circle Definition of Sine and Cosine
1:53:58 Properties of Trig Functions
2:4:36 Graphs of Sine and Cosine
2:11:09 Graphs of Sinusoidal Functions
2:21:22 Graphs of Tan, Sec, Cot, Csc
2:30:15 Inverse Trig Functions
2:39:49 Pythagorean Identities
2:45:09 Angle Sum and Difference Formulas
2:53:06 Proof of the Angle Sum Formulas
2:57:41 Double Angle Formulas
3:05:11 Half Angle Formulas
3:11:23 Solving Right Triangles
3:17:57 Law of Cosines
3:27:57 Law of Cosines - old version
3:36:16 Law of Sines
3:44:06 Parabolas - Vertex, Focus, Directrix
3:55:56 Ellipses
4:7:05 Hyperbolas
4:20:55 Polar Coordinates
4:28:27 Parametric Equations
4:39:54 Difference Quotient
⭐️ Credit ⭐️
Author: Prof. Linda Green
License: Creative Commons Attribution license (reuse allowed)
⭐️ Join Us ⭐️
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14. Precalculus Final Exam Review
This precalculus final exam review covers topics on logarithms, graphing functions, domain and range, arithmic sequences, geometric series, asymptotes, and more.
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Precalculus Final Exam Review Part 1 - Questions 1-30:
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Precalculus Final Exam Review Part 2 - Questions 31-54:
youtube.com/watch?v=H3mkE2yzpPw
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15. MCV4U Grade 12 Calculus & Vectors - Course outline - Course description - Ontario Virtual School OVS
Ontario Virtual School
ontariovirtualschool.ca/
Grade 12 Calculus & Vectors - MCV4U Course outline
ontariovirtualschool.ca/courses/mcv4u/