Difference between revisions of "MAT1223"
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(Created page with "The textbook for this course is [https://openstax.org/details/books/calculus-volume-2 Calculus (Volume 2) by Gilbert Strang, Edwin Herman, et al.] A comprehensive list of al...") |
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==Topics List== | ==Topics List== | ||
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! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes | ! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes | ||
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− | * | + | * [[Areas of basic shapes]] <!-- Grades 6-12 --> |
− | * | + | * [[Volume of a cylinder]] <!-- Grades 6-12 --> |
* [[Toolkit Functions|Graphing elementary functions]] <!-- 1073-Mod 1.2 --> | * [[Toolkit Functions|Graphing elementary functions]] <!-- 1073-Mod 1.2 --> | ||
* [[The Fundamental Theorem of Calculus]] <!-- 1214-5.3 --> | * [[The Fundamental Theorem of Calculus]] <!-- 1214-5.3 --> | ||
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* Find the volume of a solid of revolution using the disk method. | * Find the volume of a solid of revolution using the disk method. | ||
* Find the volume of a solid of revolution with a cavity using the washer method. | * Find the volume of a solid of revolution with a cavity using the washer method. | ||
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* Calculate the volume of a solid of revolution by using the method of cylindrical shells. | * Calculate the volume of a solid of revolution by using the method of cylindrical shells. | ||
* Compare the different methods for calculating a volume of revolution. | * Compare the different methods for calculating a volume of revolution. | ||
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* Determine the length of a plane curve between two points. | * Determine the length of a plane curve between two points. | ||
* Find the surface area of a solid of revolution. | * Find the surface area of a solid of revolution. | ||
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− | * | + | * [[Areas of basic shapes]] <!-- Grades 6-12 --> |
− | * | + | * [[Volume of a cylinder]] <!-- Grades 6-12 --> |
− | * | + | * [[Basic Physics (Mass, Force, Work, Newton's Second Law, Hooke's Law)]] <!-- Grades 6-12 --> |
* [[The Fundamental Theorem of Calculus]] <!-- 1214-5.3 --> | * [[The Fundamental Theorem of Calculus]] <!-- 1214-5.3 --> | ||
* [[Integration by Substitution]] <!-- 1224-1.5 --> | * [[Integration by Substitution]] <!-- 1224-1.5 --> | ||
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* Calculate the work done in pumping a liquid from one height to another. | * Calculate the work done in pumping a liquid from one height to another. | ||
* Find the hydrostatic force against a submerged vertical plate. | * Find the hydrostatic force against a submerged vertical plate. | ||
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* Use the tabular method to perform integration by parts. | * Use the tabular method to perform integration by parts. | ||
* Solve problems involving applications of integration using integration by parts. | * Solve problems involving applications of integration using integration by parts. | ||
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* Evaluate integrals involving products of sin(ax), sin(bx), cos(ax), and cos(bx). | * Evaluate integrals involving products of sin(ax), sin(bx), cos(ax), and cos(bx). | ||
* Solve problems involving applications of integration using trigonometric integrals. | * Solve problems involving applications of integration using trigonometric integrals. | ||
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* Evaluate an integral over a closed interval with an infinite discontinuity within the interval. | * Evaluate an integral over a closed interval with an infinite discontinuity within the interval. | ||
* Use the comparison theorem to determine whether an improper integral is convergent or divergent. | * Use the comparison theorem to determine whether an improper integral is convergent or divergent. | ||
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− | * | + | * [[Sigma notation]] <!-- DNE (recommend 1093) --> |
* [[Sequences]] <!-- 10224-5.1--> | * [[Sequences]] <!-- 10224-5.1--> | ||
* [[Partial Fractions]] <!-- 1224-3.4--> | * [[Partial Fractions]] <!-- 1224-3.4--> | ||
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− | * | + | * [[Factorials]] <!-- Grades 6-12 --> |
* [[Limits at Infinity and Asymptotes|Limits at Infinity]] <!-- 1214-4.6--> | * [[Limits at Infinity and Asymptotes|Limits at Infinity]] <!-- 1214-4.6--> | ||
* [[L’Hôpital’s Rule]] <!-- 1214-4.8 --> | * [[L’Hôpital’s Rule]] <!-- 1214-4.8 --> | ||
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Latest revision as of 09:52, 17 May 2024
Topics List
Date | Sections | Topics | Prerequisite Skills | Student Learning Outcomes |
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Week 1 |
1.5
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Week 1 |
2.1
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Week 2 |
2.2
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Week 2 |
2.3
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Week 3 |
2.4
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Week 4 |
2.5
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Week 5 |
3.1
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Week 6 |
3.2
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Week 6 |
3.3
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Week 7 |
3.4
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Week 8 |
3.7
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Week 9 |
5.1
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Week 10 |
5.2
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Week 11 |
5.3
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Week 11 |
5.4
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Week 12 |
5.5
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Week 12 |
5.6
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Week 13 |
6.1
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Week 14 |
6.2
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Week 15 |
6.3
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