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- 주제분류
- 자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >물리학
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- 강의학기
- 2025년 1학기
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- 조회수
- 99
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- 강의계획서
- 강의계획서
This is a first course in basic physics that will introduce students to some of the fundamental concepts in this field of study and in engineering. It begins by covering the basics of unit conversions needed in the sciences and then introduces vectors. The course moves on to fundamental concepts such as the dot and cross products. Kinematics is introduced along with simple motion and the derivations of the four kinematic equations via algebra and calculus are given. Motion in gravitational fields is then introduced along with projectile motion and parabolic trajectories. Throughout the course numerous examples are worked through and in depth explanations are given in order to elucidate concepts. Finally, the course provides a taste of a few other areas of physics that students can move on to in future courses in this field.
- 수강안내 및 수강신청
- ※ 수강확인증 발급을 위해서는 수강신청이 필요합니다
차시별 강의
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Units and Unit Conversion | Unit 1 focuses on the basics of converting of units of measurement from one form to another. This includes single units, multiple units and units raised to a power. | |
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Vectors | Scalar and vector quantities are defined in this unit as well as rectangular and polar forms of vectors. Relations between magnitude, direction angle and components are demonstrated. | |
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Vector Mathematics | Unit 3 introduces the basic mathematics of vectors such as addition and subtraction. Unit vectors and direction cosines are described and applied to example problems. | |
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The Dot Product | The mathematical expressions defining vector dot products are derived and their properties are discussed via examples. The dot products of unit vectors as well as the commutative property of the dot product are explored. | |
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Applications of the Dot Product | Vectors, magnitudes and direction cosines in three dimensions are presented. A relation between the direction of a force, position vectors and unit vectors is demonstrated via examples. Solving angles in three dimensions is also covered. | |
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The Cross Product | The cross product is defined in this unit, along with its properties. An important aspect of the cross product, determinants, is presented in detail. Applications of the properties are also presented. | |
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Kinematics | Unit 7 covers the basics of motion via displacement, velocity and acceleration. Calculus and algebra are used to derive instantaneous and average quantities. | |
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Application of Kinematics | A review of the basic kinematic equations is given in this unit and several graphical representations are depicted to clarify vector relationships. Differentiation of vectors is demonstrated with examples that assist in clarifying concepts such as the connection between speed and average velocity. | |
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Gravity and Kinematics | Gravity is introduced into kinematic motion by modifying the sets of equations presented in previous units. Methods of calculating trajectory height, flight time and other parameters are explained and corresponding examples are given. Piecewise solutions are also introduced. | |
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Projectile Motion | Unit 10 introduces the concept of projectile motion which is defined by parabolic trajectories. A relationship is developed between projectile ranges, flight times, launch angles and several other parameters. The conservation of energy is also used in combination with kinematic equations. | |
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Applied Projectile Motion | This unit considers more complex problems such as range on a multi-level surface and targeting. Equations for range and maximum height are applied to a number of problems in order to help establish a stronger foundation in this area. Simultaneous launches of projectiles are explored as well as trajectory shape and downward launch angles. | |
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Future Trajectories | This final unit presents relevant areas of interest in physics that students are encouraged to explore. These include, friction, rotational motion, curvature and optics. Specific examples in each of these areas are presented. | |
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