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MTH 112三角学(4学分)

建议准备:m 111或者至少安排数学20级

检验三角函数的应用,现实世界和理论数学含义。这些函数的符号、数值和图形表示及其应用构成了本课程的核心。强调用符号、数字和图形的方法解决问题,理解这些方法在解释和分析结果时的联系。图形计算器。推荐TI-83或TI-84。

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MTH 112:三角函数

https://catalog.cocc.edu/course-outlines/mth-112/

成绩单标题三角学学分4年级模式标准信年级联系学时总计40课学时40推荐准备MTH 111或至少安排数学20级。描述检验三角函数的应用,现实世界和理论数学含义。这些函数的符号、数值和图形表示及其应用构成了本课程的核心。强调用符号、数字和图形的方法解决问题,理解这些方法在解释和分析结果时的联系。图形计算器。推荐TI-83或TI-84。学习成果1。模型和解决应用,现实世界和理论数学问题涉及直角三角形和斜三角三角。2.使用符号、图形和数值策略建模和解决问题,并在三角函数的书面描述、符号、图形和数值表示之间进行转换。 3. Use a graphing calculator to create trigonometric graphs that represent mathematical models, determine appropriate viewing windows, and accurately interpret and draw inferences regarding the meaning and limitations of the graphs. 4. Apply and interpret the meaning of trigonometric identities to solve trigonometric equations. General education/Related instruction lists Science not Lab Mathematics

数学

https://catalog.cocc.edu/programs/mathematics/

学习数学可以培养分析和量化的能力,这在当今数据驱动的经济中是很有价值的。数学专业的学士学位是进入研究生院(如法学院、医学院、教育学院或商学院)以及在工业、政府、研究和商业中直接就业的很好的准备。此外,数学课程是许多相关科学、技术、工程和数学(STEM)项目的基础。

MTH 231:离散数学

https://catalog.cocc.edu/course-outlines/mth-231/

成绩单标题离散数学学分4年级模式标准信年级联系学时总计40授课学时40推荐准备MTH 112或至少安排数学22级。介绍了基本逻辑和集合论、函数、直接证明技术、矛盾和对立、数学归纳法和递归、基本组合学、基本图论、最小生成树等数学概念的应用、现实世界和理论数学含义。扩展和探索数学概念的符号、数字和图形表示。强调用符号、数字和图形的方法解决问题,并理解这些方法在解释和分析结果时之间的联系。学习成果1。应用基本集操作。2.否定复合和量化的陈述,形成反命题。3.构造简单语句的直接证明(从定义中)。 4. Apply the Principle of Mathematical Induction. 5. Construct indirect proofs by contraposition and contradiction. 6. Construct explanations for solutions to counting problems. 7. Utilize one or more algorithm for finding a shortest path or a minimal spanning tree in a connected graph. Content outline Logic and arguments: -Logical form and logical equivalence -Conditional statements -Valid and invalid arguments -Predicates and quantified statements -Arguments with quantified statements Proofs: -Direct proofs -Indirect proofs by contraposition and contradiction -Proofs by induction and strong induction Set theory: -Definitions in set theory -Properties of sets and set operations Sequences and recursion: -Sequences -Recursive definitions -Solving recurrence relations Counting and probability: -Probability trees -Multiplication rule -Addition rule -Combinations and permutations Graphs: -Definitions -Paths and circuits -Trees and spanning trees Required materials A textbook is required. General education/Related instruction lists Mathematics

第251题:微积分I

https://catalog.cocc.edu/course-outlines/mth-251/

成绩单标题微积分I学分4年级模式标准信年级联系学时总计60课学时30实验室学时30推荐准备MTH 112(或更高)或至少安排数学22级。介绍微积分的概念,为科学,数学和工程的学生。包括限制和连续性;导数;利率的变化;多项式、有理数、三角函数、对数函数和指数函数的导数;包括相关费率和优化的应用;和不定积分。图形计算器。学习成果1。 Calculate and apply limits. 2. Apply the basic techniques of differentiation on polynomial, rational, trigonometric, exponential, and logarithmic functions to investigate the behavior of mathematical models. 3. Apply and interpret the relationships between applied or theoretical models and their derivatives, with emphasis given to applications of rates of change. 4. Determine and analyze the rate of change of functions given function data from a graph, table of values, or formula. 5. Use the topics from calculus in conjunction with the graphing calculator to obtain precise graphs of models, including a graphical analysis of rates of change, concavity, and extrema for the model. 6. Analyze mathematical problems, develop solutions, and communicate those solutions through a technical or laboratory report. Content outline 1. Limits and continuity 2. Introduction to derivatives 3. Differentiation rules a. Basic rules b. Product and quotient rules c. Chain rule d. Derivatives of various function families e. Implicit differentiation 4. Rates and related rates 5. Derivatives and graphs a. Extrema b. Concavity and the derivative tests 6. Optimization Required materials This class requires a textbook and a graphing calculator. General education/Related instruction lists Mathematics

通识教育

https://catalog.cocc.edu/degree-certificate-overview/general-education/

...数学m111大学代数4数学,学科Stud科学不是实验室m112...

工程和物理

https://catalog.cocc.edu/programs/engineering-physics/

...20级。推荐的制剂:engr100和m112.探索设计策略和设计思维...

兽医技术员

https://catalog.cocc.edu/programs/veterinary-technician/

...CH 221;m095年,或m111(或...118年VT。并修课程:VT112, vt ., vt...

火灾科学

https://catalog.cocc.edu/programs/fire-science/

...火警110,火警112,火114,火120,火205,和m098(或更高...

地质学-俄勒冈大学艺术学院(AAOT)

https://catalog.cocc.edu/programs/geology/geology-aaot/

...课程是m111大学代数,m112三角函数,m微积分I,m252...

经济学

https://catalog.cocc.edu/programs/economics/

...通讯级别9及m111或m112m251(或更高)或...

汽车技术

https://catalog.cocc.edu/programs/automotive-technology/

...AUT 115。建议准备:m060或更高...查看课程大纲112基本的发动机的性能...

工商管理

https://catalog.cocc.edu/programs/business-administration/

...具备并发性的先决条件:m060(或更高...查看课程大纲文学学士112应用会计二世...

化学

https://catalog.cocc.edu/programs/chemistry/

...I(5学分)m111或m112,或m251(或更高)或...

计算机与信息系统

https://catalog.cocc.edu/programs/computer-information-systems/

...计算机科学I(4学分)m112m251年。推荐准备:cs160...

航空

https://catalog.cocc.edu/programs/aviation/

...推荐准备:m060或更高...查看课程大纲AV112技术先进的飞机...

医疗助理-一年制结业证书(CC1)

https://catalog.cocc.edu/programs/medical-assistant/medical-assistant-cc1/

...术语I和AH112医学术语二世...114病理生理学导论m105年数学...

CH 221:普通化学I

https://catalog.cocc.edu/course-outlines/ch-221/

...实验时数30m111或m112,或m251(或更高)或...

EC 201:微观经济学

https://catalog.cocc.edu/course-outlines/ec-201/

...通讯级别9及m111或m112m251(或更高)或...

EC 202:宏观经济学

https://catalog.cocc.edu/course-outlines/ec-202/

...通讯级别9及m111或m112m251(或更高)或...

计算机科学I

https://catalog.cocc.edu/course-outlines/cs-161/

...小时30其他小时20前提条件m112m251年。推荐制剂CS 160...

ENGR 102:工程学导论II

https://catalog.cocc.edu/course-outlines/engr-102/

...20级。推荐制剂engr100和m112.描述探讨设计策略和设计...

教育

https://catalog.cocc.edu/programs/education/

...被接受:ED112或者ED 200...教育工作者(4学分)m015(或更高...

工程专业-科学副学士(AS)

https://catalog.cocc.edu/programs/engineering-physics/engineering-as/

...普通化学III及m253年微积分三世...焊接技术I,制造112制造过程二世...

工商管理211:财务会计I

https://catalog.cocc.edu/course-outlines/ba-211/

...建议准备工作m060(或更高...会计原则。英航111,112, 113个是...

火灾263:火灾中的人类行为

https://catalog.cocc.edu/course-outlines/fire-263/

...火警110,火警112,火114,火120,火205,和m098(或更高...

ph202:普通物理学II

https://catalog.cocc.edu/course-outlines/ph-202/

...小时40实验室小时30推荐准备m112.基本研究静电和磁性...

运动科学

https://catalog.cocc.edu/programs/exercise-science/

...推荐准备:m015(或更高...查看课程大纲112开始骑山地自行车...

健康信息管理

https://catalog.cocc.edu/programs/health-information-management/

...查看课程大纲AH112医学术语二世...统计学(4学分)m015或更高...

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